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

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Solution for (8x-7)(8x+7)=0 equation:


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

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

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

Multiply (-7 + 8x) * (7 + 8x)
(-7(7 + 8x) + 8x * (7 + 8x)) = 0
((7 * -7 + 8x * -7) + 8x * (7 + 8x)) = 0
((-49 + -56x) + 8x * (7 + 8x)) = 0
(-49 + -56x + (7 * 8x + 8x * 8x)) = 0
(-49 + -56x + (56x + 64x2)) = 0

Combine like terms: -56x + 56x = 0
(-49 + 0 + 64x2) = 0
(-49 + 64x2) = 0

Solving
-49 + 64x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 64x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 64x2 = 0 + 49
64x2 = 0 + 49

Combine like terms: 0 + 49 = 49
64x2 = 49

Divide each side by '64'.
x2 = 0.765625

Simplifying
x2 = 0.765625

Take the square root of each side:
x = {-0.875, 0.875}

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