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Simplifying
336 = (8 + x)(x + -8)
Reorder the terms:
336 = (8 + x)(-8 + x)
Multiply (8 + x) * (-8 + x)
336 = (8(-8 + x) + x(-8 + x))
336 = ((-8 * 8 + x * 8) + x(-8 + x))
336 = ((-64 + 8x) + x(-8 + x))
336 = (-64 + 8x + (-8 * x + x * x))
336 = (-64 + 8x + (-8x + x2))
Combine like terms: 8x + -8x = 0
336 = (-64 + 0 + x2)
336 = (-64 + x2)
Solving
336 = -64 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
336 + -1x2 = -64 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
336 + -1x2 = -64 + 0
336 + -1x2 = -64
Add '-336' to each side of the equation.
336 + -336 + -1x2 = -64 + -336
Combine like terms: 336 + -336 = 0
0 + -1x2 = -64 + -336
-1x2 = -64 + -336
Combine like terms: -64 + -336 = -400
-1x2 = -400
Divide each side by '-1'.
x2 = 400
Simplifying
x2 = 400
Take the square root of each side:
x = {-20, 20}
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