(4x+7)(2x-8)=

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Solution for (4x+7)(2x-8)= equation:


Simplifying
(4x + 7)(2x + -8) = 0

Reorder the terms:
(7 + 4x)(2x + -8) = 0

Reorder the terms:
(7 + 4x)(-8 + 2x) = 0

Multiply (7 + 4x) * (-8 + 2x)
(7(-8 + 2x) + 4x * (-8 + 2x)) = 0
((-8 * 7 + 2x * 7) + 4x * (-8 + 2x)) = 0
((-56 + 14x) + 4x * (-8 + 2x)) = 0
(-56 + 14x + (-8 * 4x + 2x * 4x)) = 0
(-56 + 14x + (-32x + 8x2)) = 0

Combine like terms: 14x + -32x = -18x
(-56 + -18x + 8x2) = 0

Solving
-56 + -18x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + -9x + 4x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve:

Simplifying
-7 + -4x = 0

Solving
-7 + -4x = 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 + -4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 0 + 7
-4x = 0 + 7

Combine like terms: 0 + 7 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.75, 4}

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