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Simplifying x * x = (x + 7)(x + -2) Multiply x * x x2 = (x + 7)(x + -2) Reorder the terms: x2 = (7 + x)(x + -2) Reorder the terms: x2 = (7 + x)(-2 + x) Multiply (7 + x) * (-2 + x) x2 = (7(-2 + x) + x(-2 + x)) x2 = ((-2 * 7 + x * 7) + x(-2 + x)) x2 = ((-14 + 7x) + x(-2 + x)) x2 = (-14 + 7x + (-2 * x + x * x)) x2 = (-14 + 7x + (-2x + x2)) Combine like terms: 7x + -2x = 5x x2 = (-14 + 5x + x2) Add '-1x2' to each side of the equation. x2 + -1x2 = -14 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -14 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -14 + 5x + 0 0 = -14 + 5x Solving 0 = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0 + -5x = -14 + 5x + -5x Remove the zero: -5x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -5x = -14 + 0 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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