(4x-4)*(2x+7)=

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Solution for (4x-4)*(2x+7)= equation:


Simplifying
(4x + -4)(2x + 7) = 0

Reorder the terms:
(-4 + 4x)(2x + 7) = 0

Reorder the terms:
(-4 + 4x)(7 + 2x) = 0

Multiply (-4 + 4x) * (7 + 2x)
(-4(7 + 2x) + 4x * (7 + 2x)) = 0
((7 * -4 + 2x * -4) + 4x * (7 + 2x)) = 0
((-28 + -8x) + 4x * (7 + 2x)) = 0
(-28 + -8x + (7 * 4x + 2x * 4x)) = 0
(-28 + -8x + (28x + 8x2)) = 0

Combine like terms: -8x + 28x = 20x
(-28 + 20x + 8x2) = 0

Solving
-28 + 20x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + 5x + 2x2) = 0

Factor a trinomial.
4((-7 + -2x)(1 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

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 = {-3.5, 1}

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