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Simplifying x2 + -16x + 63 = (x + -7)(x + 9) Reorder the terms: 63 + -16x + x2 = (x + -7)(x + 9) Reorder the terms: 63 + -16x + x2 = (-7 + x)(x + 9) Reorder the terms: 63 + -16x + x2 = (-7 + x)(9 + x) Multiply (-7 + x) * (9 + x) 63 + -16x + x2 = (-7(9 + x) + x(9 + x)) 63 + -16x + x2 = ((9 * -7 + x * -7) + x(9 + x)) 63 + -16x + x2 = ((-63 + -7x) + x(9 + x)) 63 + -16x + x2 = (-63 + -7x + (9 * x + x * x)) 63 + -16x + x2 = (-63 + -7x + (9x + x2)) Combine like terms: -7x + 9x = 2x 63 + -16x + x2 = (-63 + 2x + x2) Add '-1x2' to each side of the equation. 63 + -16x + x2 + -1x2 = -63 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 63 + -16x + 0 = -63 + 2x + x2 + -1x2 63 + -16x = -63 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 63 + -16x = -63 + 2x + 0 63 + -16x = -63 + 2x Solving 63 + -16x = -63 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 63 + -16x + -2x = -63 + 2x + -2x Combine like terms: -16x + -2x = -18x 63 + -18x = -63 + 2x + -2x Combine like terms: 2x + -2x = 0 63 + -18x = -63 + 0 63 + -18x = -63 Add '-63' to each side of the equation. 63 + -63 + -18x = -63 + -63 Combine like terms: 63 + -63 = 0 0 + -18x = -63 + -63 -18x = -63 + -63 Combine like terms: -63 + -63 = -126 -18x = -126 Divide each side by '-18'. x = 7 Simplifying x = 7
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