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Simplifying x2 + -7x + 10 = (x + -5)(x + -1) Reorder the terms: 10 + -7x + x2 = (x + -5)(x + -1) Reorder the terms: 10 + -7x + x2 = (-5 + x)(x + -1) Reorder the terms: 10 + -7x + x2 = (-5 + x)(-1 + x) Multiply (-5 + x) * (-1 + x) 10 + -7x + x2 = (-5(-1 + x) + x(-1 + x)) 10 + -7x + x2 = ((-1 * -5 + x * -5) + x(-1 + x)) 10 + -7x + x2 = ((5 + -5x) + x(-1 + x)) 10 + -7x + x2 = (5 + -5x + (-1 * x + x * x)) 10 + -7x + x2 = (5 + -5x + (-1x + x2)) Combine like terms: -5x + -1x = -6x 10 + -7x + x2 = (5 + -6x + x2) Add '-1x2' to each side of the equation. 10 + -7x + x2 + -1x2 = 5 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + -7x + 0 = 5 + -6x + x2 + -1x2 10 + -7x = 5 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + -7x = 5 + -6x + 0 10 + -7x = 5 + -6x Solving 10 + -7x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + -7x + 6x = 5 + -6x + 6x Combine like terms: -7x + 6x = -1x 10 + -1x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + -1x = 5 + 0 10 + -1x = 5 Add '-10' to each side of the equation. 10 + -10 + -1x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 5 + -10 -1x = 5 + -10 Combine like terms: 5 + -10 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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