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Simplifying x(5x + -7) = (5x + 9)(x + -8) Reorder the terms: x(-7 + 5x) = (5x + 9)(x + -8) (-7 * x + 5x * x) = (5x + 9)(x + -8) (-7x + 5x2) = (5x + 9)(x + -8) Reorder the terms: -7x + 5x2 = (9 + 5x)(x + -8) Reorder the terms: -7x + 5x2 = (9 + 5x)(-8 + x) Multiply (9 + 5x) * (-8 + x) -7x + 5x2 = (9(-8 + x) + 5x * (-8 + x)) -7x + 5x2 = ((-8 * 9 + x * 9) + 5x * (-8 + x)) -7x + 5x2 = ((-72 + 9x) + 5x * (-8 + x)) -7x + 5x2 = (-72 + 9x + (-8 * 5x + x * 5x)) -7x + 5x2 = (-72 + 9x + (-40x + 5x2)) Combine like terms: 9x + -40x = -31x -7x + 5x2 = (-72 + -31x + 5x2) Add '-5x2' to each side of the equation. -7x + 5x2 + -5x2 = -72 + -31x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7x + 0 = -72 + -31x + 5x2 + -5x2 -7x = -72 + -31x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7x = -72 + -31x + 0 -7x = -72 + -31x Solving -7x = -72 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -7x + 31x = -72 + -31x + 31x Combine like terms: -7x + 31x = 24x 24x = -72 + -31x + 31x Combine like terms: -31x + 31x = 0 24x = -72 + 0 24x = -72 Divide each side by '24'. x = -3 Simplifying x = -3
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