9x(x-6)-16=3x(2x+4)+3x(x-6) - Solution
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Solution for 9x(x-6)-16=3x(2x+4)+3x(x-6) equation:
Simplifying 9x(x + -6) + -16 = 3x(2x + 4) + 3x(x + -6) Reorder the terms: 9x(-6 + x) + -16 = 3x(2x + 4) + 3x(x + -6) (-6 * 9x + x * 9x) + -16 = 3x(2x + 4) + 3x(x + -6) (-54x + 9x2) + -16 = 3x(2x + 4) + 3x(x + -6) Reorder the terms: -16 + -54x + 9x2 = 3x(2x + 4) + 3x(x + -6) Reorder the terms: -16 + -54x + 9x2 = 3x(4 + 2x) + 3x(x + -6) -16 + -54x + 9x2 = (4 * 3x + 2x * 3x) + 3x(x + -6) -16 + -54x + 9x2 = (12x + 6x2) + 3x(x + -6) Reorder the terms: -16 + -54x + 9x2 = 12x + 6x2 + 3x(-6 + x) -16 + -54x + 9x2 = 12x + 6x2 + (-6 * 3x + x * 3x) -16 + -54x + 9x2 = 12x + 6x2 + (-18x + 3x2) Reorder the terms: -16 + -54x + 9x2 = 12x + -18x + 6x2 + 3x2 Combine like terms: 12x + -18x = -6x -16 + -54x + 9x2 = -6x + 6x2 + 3x2 Combine like terms: 6x2 + 3x2 = 9x2 -16 + -54x + 9x2 = -6x + 9x2 Add '-9x2' to each side of the equation. -16 + -54x + 9x2 + -9x2 = -6x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -16 + -54x + 0 = -6x + 9x2 + -9x2 -16 + -54x = -6x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -16 + -54x = -6x + 0 -16 + -54x = -6x Solving -16 + -54x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -16 + -54x + 6x = -6x + 6x Combine like terms: -54x + 6x = -48x -16 + -48x = -6x + 6x Combine like terms: -6x + 6x = 0 -16 + -48x = 0 Add '16' to each side of the equation. -16 + 16 + -48x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -48x = 0 + 16 -48x = 0 + 16 Combine like terms: 0 + 16 = 16 -48x = 16 Divide each side by '-48'. x = -0.3333333333 Simplifying x = -0.3333333333See similar equations:
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