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Simplifying x2 + -1(x + 4)(x + 4) + -40 = 0 Reorder the terms: x2 + -1(4 + x)(x + 4) + -40 = 0 Reorder the terms: x2 + -1(4 + x)(4 + x) + -40 = 0 Multiply (4 + x) * (4 + x) x2 + -1(4(4 + x) + x(4 + x)) + -40 = 0 x2 + -1((4 * 4 + x * 4) + x(4 + x)) + -40 = 0 x2 + -1((16 + 4x) + x(4 + x)) + -40 = 0 x2 + -1(16 + 4x + (4 * x + x * x)) + -40 = 0 x2 + -1(16 + 4x + (4x + x2)) + -40 = 0 Combine like terms: 4x + 4x = 8x x2 + -1(16 + 8x + x2) + -40 = 0 x2 + (16 * -1 + 8x * -1 + x2 * -1) + -40 = 0 x2 + (-16 + -8x + -1x2) + -40 = 0 Reorder the terms: -16 + -40 + -8x + x2 + -1x2 = 0 Combine like terms: -16 + -40 = -56 -56 + -8x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -56 + -8x + 0 = 0 -56 + -8x = 0 Solving -56 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -8x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -8x = 0 + 56 -8x = 0 + 56 Combine like terms: 0 + 56 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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