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