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Simplifying (x + 6)(x + -2) = x(x + 1) Reorder the terms: (6 + x)(x + -2) = x(x + 1) Reorder the terms: (6 + x)(-2 + x) = x(x + 1) Multiply (6 + x) * (-2 + x) (6(-2 + x) + x(-2 + x)) = x(x + 1) ((-2 * 6 + x * 6) + x(-2 + x)) = x(x + 1) ((-12 + 6x) + x(-2 + x)) = x(x + 1) (-12 + 6x + (-2 * x + x * x)) = x(x + 1) (-12 + 6x + (-2x + x2)) = x(x + 1) Combine like terms: 6x + -2x = 4x (-12 + 4x + x2) = x(x + 1) Reorder the terms: -12 + 4x + x2 = x(1 + x) -12 + 4x + x2 = (1 * x + x * x) -12 + 4x + x2 = (1x + x2) Add '-1x2' to each side of the equation. -12 + 4x + x2 + -1x2 = 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 4x + 0 = 1x + x2 + -1x2 -12 + 4x = 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 4x = 1x + 0 -12 + 4x = 1x Solving -12 + 4x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 4x + -1x = 1x + -1x Combine like terms: 4x + -1x = 3x -12 + 3x = 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 3x = 0 Add '12' to each side of the equation. -12 + 12 + 3x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 0 + 12 3x = 0 + 12 Combine like terms: 0 + 12 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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