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Simplifying x(3x + -7) = (3x + 9)(x + -8) Reorder the terms: x(-7 + 3x) = (3x + 9)(x + -8) (-7 * x + 3x * x) = (3x + 9)(x + -8) (-7x + 3x2) = (3x + 9)(x + -8) Reorder the terms: -7x + 3x2 = (9 + 3x)(x + -8) Reorder the terms: -7x + 3x2 = (9 + 3x)(-8 + x) Multiply (9 + 3x) * (-8 + x) -7x + 3x2 = (9(-8 + x) + 3x * (-8 + x)) -7x + 3x2 = ((-8 * 9 + x * 9) + 3x * (-8 + x)) -7x + 3x2 = ((-72 + 9x) + 3x * (-8 + x)) -7x + 3x2 = (-72 + 9x + (-8 * 3x + x * 3x)) -7x + 3x2 = (-72 + 9x + (-24x + 3x2)) Combine like terms: 9x + -24x = -15x -7x + 3x2 = (-72 + -15x + 3x2) Add '-3x2' to each side of the equation. -7x + 3x2 + -3x2 = -72 + -15x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7x + 0 = -72 + -15x + 3x2 + -3x2 -7x = -72 + -15x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7x = -72 + -15x + 0 -7x = -72 + -15x Solving -7x = -72 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -7x + 15x = -72 + -15x + 15x Combine like terms: -7x + 15x = 8x 8x = -72 + -15x + 15x Combine like terms: -15x + 15x = 0 8x = -72 + 0 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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