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Simplifying x(x + -4) = (x + 1)(x + -3) Reorder the terms: x(-4 + x) = (x + 1)(x + -3) (-4 * x + x * x) = (x + 1)(x + -3) (-4x + x2) = (x + 1)(x + -3) Reorder the terms: -4x + x2 = (1 + x)(x + -3) Reorder the terms: -4x + x2 = (1 + x)(-3 + x) Multiply (1 + x) * (-3 + x) -4x + x2 = (1(-3 + x) + x(-3 + x)) -4x + x2 = ((-3 * 1 + x * 1) + x(-3 + x)) -4x + x2 = ((-3 + 1x) + x(-3 + x)) -4x + x2 = (-3 + 1x + (-3 * x + x * x)) -4x + x2 = (-3 + 1x + (-3x + x2)) Combine like terms: 1x + -3x = -2x -4x + x2 = (-3 + -2x + x2) Add '-1x2' to each side of the equation. -4x + x2 + -1x2 = -3 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4x + 0 = -3 + -2x + x2 + -1x2 -4x = -3 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4x = -3 + -2x + 0 -4x = -3 + -2x Solving -4x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4x + 2x = -3 + -2x + 2x Combine like terms: -4x + 2x = -2x -2x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -2x = -3 + 0 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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