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Simplifying x(8x + -8) = (8x + 6)(x + -7) Reorder the terms: x(-8 + 8x) = (8x + 6)(x + -7) (-8 * x + 8x * x) = (8x + 6)(x + -7) (-8x + 8x2) = (8x + 6)(x + -7) Reorder the terms: -8x + 8x2 = (6 + 8x)(x + -7) Reorder the terms: -8x + 8x2 = (6 + 8x)(-7 + x) Multiply (6 + 8x) * (-7 + x) -8x + 8x2 = (6(-7 + x) + 8x * (-7 + x)) -8x + 8x2 = ((-7 * 6 + x * 6) + 8x * (-7 + x)) -8x + 8x2 = ((-42 + 6x) + 8x * (-7 + x)) -8x + 8x2 = (-42 + 6x + (-7 * 8x + x * 8x)) -8x + 8x2 = (-42 + 6x + (-56x + 8x2)) Combine like terms: 6x + -56x = -50x -8x + 8x2 = (-42 + -50x + 8x2) Add '-8x2' to each side of the equation. -8x + 8x2 + -8x2 = -42 + -50x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -8x + 0 = -42 + -50x + 8x2 + -8x2 -8x = -42 + -50x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -8x = -42 + -50x + 0 -8x = -42 + -50x Solving -8x = -42 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. -8x + 50x = -42 + -50x + 50x Combine like terms: -8x + 50x = 42x 42x = -42 + -50x + 50x Combine like terms: -50x + 50x = 0 42x = -42 + 0 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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