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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 = -16x 63 + -16x + x2 = (63 + -16x + x2) Add '-63' to each side of the equation. 63 + -16x + -63 + x2 = 63 + -16x + -63 + x2 Reorder the terms: 63 + -63 + -16x + x2 = 63 + -16x + -63 + x2 Combine like terms: 63 + -63 = 0 0 + -16x + x2 = 63 + -16x + -63 + x2 -16x + x2 = 63 + -16x + -63 + x2 Reorder the terms: -16x + x2 = 63 + -63 + -16x + x2 Combine like terms: 63 + -63 = 0 -16x + x2 = 0 + -16x + x2 -16x + x2 = -16x + x2 Add '16x' to each side of the equation. -16x + 16x + x2 = -16x + 16x + x2 Combine like terms: -16x + 16x = 0 0 + x2 = -16x + 16x + x2 x2 = -16x + 16x + x2 Combine like terms: -16x + 16x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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