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Simplifying x(2x + -4) + x(4x + -4) = (6x + 5)(x + -3) Reorder the terms: x(-4 + 2x) + x(4x + -4) = (6x + 5)(x + -3) (-4 * x + 2x * x) + x(4x + -4) = (6x + 5)(x + -3) (-4x + 2x2) + x(4x + -4) = (6x + 5)(x + -3) Reorder the terms: -4x + 2x2 + x(-4 + 4x) = (6x + 5)(x + -3) -4x + 2x2 + (-4 * x + 4x * x) = (6x + 5)(x + -3) -4x + 2x2 + (-4x + 4x2) = (6x + 5)(x + -3) Reorder the terms: -4x + -4x + 2x2 + 4x2 = (6x + 5)(x + -3) Combine like terms: -4x + -4x = -8x -8x + 2x2 + 4x2 = (6x + 5)(x + -3) Combine like terms: 2x2 + 4x2 = 6x2 -8x + 6x2 = (6x + 5)(x + -3) Reorder the terms: -8x + 6x2 = (5 + 6x)(x + -3) Reorder the terms: -8x + 6x2 = (5 + 6x)(-3 + x) Multiply (5 + 6x) * (-3 + x) -8x + 6x2 = (5(-3 + x) + 6x * (-3 + x)) -8x + 6x2 = ((-3 * 5 + x * 5) + 6x * (-3 + x)) -8x + 6x2 = ((-15 + 5x) + 6x * (-3 + x)) -8x + 6x2 = (-15 + 5x + (-3 * 6x + x * 6x)) -8x + 6x2 = (-15 + 5x + (-18x + 6x2)) Combine like terms: 5x + -18x = -13x -8x + 6x2 = (-15 + -13x + 6x2) Add '-6x2' to each side of the equation. -8x + 6x2 + -6x2 = -15 + -13x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -8x + 0 = -15 + -13x + 6x2 + -6x2 -8x = -15 + -13x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -8x = -15 + -13x + 0 -8x = -15 + -13x Solving -8x = -15 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -8x + 13x = -15 + -13x + 13x Combine like terms: -8x + 13x = 5x 5x = -15 + -13x + 13x Combine like terms: -13x + 13x = 0 5x = -15 + 0 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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