9x^2-6x+1=4 - Solution

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9x^2-6x+1=4

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Solution for 9x^2-6x+1=4 equation:

Simplifying 9x2 + -6x + 1 = 4 Reorder the terms: 1 + -6x + 9x2 = 4 Solving 1 + -6x + 9x2 = 4 Solving for variable 'x'. Reorder the terms: 1 + -4 + -6x + 9x2 = 4 + -4 Combine like terms: 1 + -4 = -3 -3 + -6x + 9x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -3 + -6x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -2x + 3x2) = 0 Factor a trinomial. 3((-1 + -3x)(1 + -1x)) = 0 Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-0.3333333333, 1}

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