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Simplifying
0 = (7 + -8x)(7 + 8x)
Multiply (7 + -8x) * (7 + 8x)
0 = (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))
Combine like terms: 56x + -56x = 0
0 = (49 + 0 + -64x2)
0 = (49 + -64x2)
Solving
0 = 49 + -64x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '64x2' to each side of the equation.
0 + 64x2 = 49 + -64x2 + 64x2
Remove the zero:
64x2 = 49 + -64x2 + 64x2
Combine like terms: -64x2 + 64x2 = 0
64x2 = 49 + 0
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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