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Simplifying 48 = x2 + -1(x + -2)(x + -2) Reorder the terms: 48 = x2 + -1(-2 + x)(x + -2) Reorder the terms: 48 = x2 + -1(-2 + x)(-2 + x) Multiply (-2 + x) * (-2 + x) 48 = x2 + -1(-2(-2 + x) + x(-2 + x)) 48 = x2 + -1((-2 * -2 + x * -2) + x(-2 + x)) 48 = x2 + -1((4 + -2x) + x(-2 + x)) 48 = x2 + -1(4 + -2x + (-2 * x + x * x)) 48 = x2 + -1(4 + -2x + (-2x + x2)) Combine like terms: -2x + -2x = -4x 48 = x2 + -1(4 + -4x + x2) 48 = x2 + (4 * -1 + -4x * -1 + x2 * -1) 48 = x2 + (-4 + 4x + -1x2) Reorder the terms: 48 = -4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 48 = -4 + 4x + 0 48 = -4 + 4x Solving 48 = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + -4x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + -4x = -4 + 0 48 + -4x = -4 Add '-48' to each side of the equation. 48 + -48 + -4x = -4 + -48 Combine like terms: 48 + -48 = 0 0 + -4x = -4 + -48 -4x = -4 + -48 Combine like terms: -4 + -48 = -52 -4x = -52 Divide each side by '-4'. x = 13 Simplifying x = 13
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