Solve Simplificationorothersimpleresults 7x^2-3x-4 Tiger Algebra ...

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Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Simplification or other simple results (x−1)⋅(7x+4) (x-1)*(7x+4)

Other Ways to Solve

Simplification or other simple results
  • Solving quadratic equations by factoring
  • Solving quadratic equations by completing the square
  • Solving quadratic equations using the quadratic formula

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

(7x2 - 3x) - 4

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 7x2-3x-4 The first term is, 7x2 its coefficient is 7 .The middle term is, -3x its coefficient is -3 .The last term, "the constant", is -4 Step-1 : Multiply the coefficient of the first term by the constant 7 • -4 = -28 Step-2 : Find two factors of -28 whose sum equals the coefficient of the middle term, which is -3 .

-28 + 1 = -27
-14 + 2 = -12
-7 + 4 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 4 7x2 - 7x + 4x - 4Step-4 : Add up the first 2 terms, pulling out like factors : 7x • (x-1) Add up the last 2 terms, pulling out common factors : 4 • (x-1) Step-5 : Add up the four terms of step 4 : (7x+4) • (x-1) Which is the desired factorization

Final result :

(x - 1) • (7x + 4)

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