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Simplifying x2 = 144 + (x + -4)(x + -4) Reorder the terms: x2 = 144 + (-4 + x)(x + -4) Reorder the terms: x2 = 144 + (-4 + x)(-4 + x) Multiply (-4 + x) * (-4 + x) x2 = 144 + (-4(-4 + x) + x(-4 + x)) x2 = 144 + ((-4 * -4 + x * -4) + x(-4 + x)) x2 = 144 + ((16 + -4x) + x(-4 + x)) x2 = 144 + (16 + -4x + (-4 * x + x * x)) x2 = 144 + (16 + -4x + (-4x + x2)) Combine like terms: -4x + -4x = -8x x2 = 144 + (16 + -8x + x2) Combine like terms: 144 + 16 = 160 x2 = 160 + -8x + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = 160 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 160 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 160 + -8x + 0 0 = 160 + -8x Solving 0 = 160 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 0 + 8x = 160 + -8x + 8x Remove the zero: 8x = 160 + -8x + 8x Combine like terms: -8x + 8x = 0 8x = 160 + 0 8x = 160 Divide each side by '8'. x = 20 Simplifying x = 20
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