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Simplifying x2 + -3x + -10 = (x + -2)(x + -5) Reorder the terms: -10 + -3x + x2 = (x + -2)(x + -5) Reorder the terms: -10 + -3x + x2 = (-2 + x)(x + -5) Reorder the terms: -10 + -3x + x2 = (-2 + x)(-5 + x) Multiply (-2 + x) * (-5 + x) -10 + -3x + x2 = (-2(-5 + x) + x(-5 + x)) -10 + -3x + x2 = ((-5 * -2 + x * -2) + x(-5 + x)) -10 + -3x + x2 = ((10 + -2x) + x(-5 + x)) -10 + -3x + x2 = (10 + -2x + (-5 * x + x * x)) -10 + -3x + x2 = (10 + -2x + (-5x + x2)) Combine like terms: -2x + -5x = -7x -10 + -3x + x2 = (10 + -7x + x2) Add '-1x2' to each side of the equation. -10 + -3x + x2 + -1x2 = 10 + -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x + 0 = 10 + -7x + x2 + -1x2 -10 + -3x = 10 + -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x = 10 + -7x + 0 -10 + -3x = 10 + -7x Solving -10 + -3x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + -3x + 7x = 10 + -7x + 7x Combine like terms: -3x + 7x = 4x -10 + 4x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 4x = 10 + 0 -10 + 4x = 10 Add '10' to each side of the equation. -10 + 10 + 4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 10 + 10 4x = 10 + 10 Combine like terms: 10 + 10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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