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Simplifying x2 + -7x + 10 = (x + -5)(x) Reorder the terms: 10 + -7x + x2 = (x + -5)(x) Reorder the terms: 10 + -7x + x2 = (-5 + x)(x) Reorder the terms for easier multiplication: 10 + -7x + x2 = x(-5 + x) 10 + -7x + x2 = (-5 * x + x * x) 10 + -7x + x2 = (-5x + x2) Add '-1x2' to each side of the equation. 10 + -7x + x2 + -1x2 = -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + -7x + 0 = -5x + x2 + -1x2 10 + -7x = -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + -7x = -5x + 0 10 + -7x = -5x Solving 10 + -7x = -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. 10 + -7x + 5x = -5x + 5x Combine like terms: -7x + 5x = -2x 10 + -2x = -5x + 5x Combine like terms: -5x + 5x = 0 10 + -2x = 0 Add '-10' to each side of the equation. 10 + -10 + -2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 0 + -10 -2x = 0 + -10 Combine like terms: 0 + -10 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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