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Simplifying z2 + 9x + -63 = (2z + 7)(z + -9) Reorder the terms: -63 + 9x + z2 = (2z + 7)(z + -9) Reorder the terms: -63 + 9x + z2 = (7 + 2z)(z + -9) Reorder the terms: -63 + 9x + z2 = (7 + 2z)(-9 + z) Multiply (7 + 2z) * (-9 + z) -63 + 9x + z2 = (7(-9 + z) + 2z * (-9 + z)) -63 + 9x + z2 = ((-9 * 7 + z * 7) + 2z * (-9 + z)) -63 + 9x + z2 = ((-63 + 7z) + 2z * (-9 + z)) -63 + 9x + z2 = (-63 + 7z + (-9 * 2z + z * 2z)) -63 + 9x + z2 = (-63 + 7z + (-18z + 2z2)) Combine like terms: 7z + -18z = -11z -63 + 9x + z2 = (-63 + -11z + 2z2) Add '63' to each side of the equation. -63 + 9x + 63 + z2 = -63 + -11z + 63 + 2z2 Reorder the terms: -63 + 63 + 9x + z2 = -63 + -11z + 63 + 2z2 Combine like terms: -63 + 63 = 0 0 + 9x + z2 = -63 + -11z + 63 + 2z2 9x + z2 = -63 + -11z + 63 + 2z2 Reorder the terms: 9x + z2 = -63 + 63 + -11z + 2z2 Combine like terms: -63 + 63 = 0 9x + z2 = 0 + -11z + 2z2 9x + z2 = -11z + 2z2 Solving 9x + z2 = -11z + 2z2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1z2' to each side of the equation. 9x + z2 + -1z2 = -11z + 2z2 + -1z2 Combine like terms: z2 + -1z2 = 0 9x + 0 = -11z + 2z2 + -1z2 9x = -11z + 2z2 + -1z2 Combine like terms: 2z2 + -1z2 = 1z2 9x = -11z + 1z2 Divide each side by '9'. x = -1.222222222z + 0.1111111111z2 Simplifying x = -1.222222222z + 0.1111111111z2
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