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Simplifying x(3x + -3) + x(2x + -2) = (5x + 7)(x + -8) Reorder the terms: x(-3 + 3x) + x(2x + -2) = (5x + 7)(x + -8) (-3 * x + 3x * x) + x(2x + -2) = (5x + 7)(x + -8) (-3x + 3x2) + x(2x + -2) = (5x + 7)(x + -8) Reorder the terms: -3x + 3x2 + x(-2 + 2x) = (5x + 7)(x + -8) -3x + 3x2 + (-2 * x + 2x * x) = (5x + 7)(x + -8) -3x + 3x2 + (-2x + 2x2) = (5x + 7)(x + -8) Reorder the terms: -3x + -2x + 3x2 + 2x2 = (5x + 7)(x + -8) Combine like terms: -3x + -2x = -5x -5x + 3x2 + 2x2 = (5x + 7)(x + -8) Combine like terms: 3x2 + 2x2 = 5x2 -5x + 5x2 = (5x + 7)(x + -8) Reorder the terms: -5x + 5x2 = (7 + 5x)(x + -8) Reorder the terms: -5x + 5x2 = (7 + 5x)(-8 + x) Multiply (7 + 5x) * (-8 + x) -5x + 5x2 = (7(-8 + x) + 5x * (-8 + x)) -5x + 5x2 = ((-8 * 7 + x * 7) + 5x * (-8 + x)) -5x + 5x2 = ((-56 + 7x) + 5x * (-8 + x)) -5x + 5x2 = (-56 + 7x + (-8 * 5x + x * 5x)) -5x + 5x2 = (-56 + 7x + (-40x + 5x2)) Combine like terms: 7x + -40x = -33x -5x + 5x2 = (-56 + -33x + 5x2) Add '-5x2' to each side of the equation. -5x + 5x2 + -5x2 = -56 + -33x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5x + 0 = -56 + -33x + 5x2 + -5x2 -5x = -56 + -33x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -5x = -56 + -33x + 0 -5x = -56 + -33x Solving -5x = -56 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -5x + 33x = -56 + -33x + 33x Combine like terms: -5x + 33x = 28x 28x = -56 + -33x + 33x Combine like terms: -33x + 33x = 0 28x = -56 + 0 28x = -56 Divide each side by '28'. x = -2 Simplifying x = -2
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