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