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

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

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

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

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

Multiply (-7 + x) * (4 + 8x)
(-7(4 + 8x) + x(4 + 8x)) = 0
((4 * -7 + 8x * -7) + x(4 + 8x)) = 0
((-28 + -56x) + x(4 + 8x)) = 0
(-28 + -56x + (4 * x + 8x * x)) = 0
(-28 + -56x + (4x + 8x2)) = 0

Combine like terms: -56x + 4x = -52x
(-28 + -52x + 8x2) = 0

Solving
-28 + -52x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + -13x + 2x2) = 0

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

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-0.5, 7}