(3-4x-5)(3-4x+5)=

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Solution for (3-4x-5)(3-4x+5)= equation:


Simplifying
(3 + -4x + -5)(3 + -4x + 5) = 0

Reorder the terms:
(3 + -5 + -4x)(3 + -4x + 5) = 0

Combine like terms: 3 + -5 = -2
(-2 + -4x)(3 + -4x + 5) = 0

Reorder the terms:
(-2 + -4x)(3 + 5 + -4x) = 0

Combine like terms: 3 + 5 = 8
(-2 + -4x)(8 + -4x) = 0

Multiply (-2 + -4x) * (8 + -4x)
(-2(8 + -4x) + -4x * (8 + -4x)) = 0
((8 * -2 + -4x * -2) + -4x * (8 + -4x)) = 0
((-16 + 8x) + -4x * (8 + -4x)) = 0
(-16 + 8x + (8 * -4x + -4x * -4x)) = 0
(-16 + 8x + (-32x + 16x2)) = 0

Combine like terms: 8x + -32x = -24x
(-16 + -24x + 16x2) = 0

Solving
-16 + -24x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + -3x + 2x2) = 0

Factor a trinomial.
8((-1 + -2x)(2 + -1x)) = 0

Ignore the factor 8.

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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.5, 2}

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