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Simplifying 0 = (9x + 2)(x + -7) Reorder the terms: 0 = (2 + 9x)(x + -7) Reorder the terms: 0 = (2 + 9x)(-7 + x) Multiply (2 + 9x) * (-7 + x) 0 = (2(-7 + x) + 9x * (-7 + x)) 0 = ((-7 * 2 + x * 2) + 9x * (-7 + x)) 0 = ((-14 + 2x) + 9x * (-7 + x)) 0 = (-14 + 2x + (-7 * 9x + x * 9x)) 0 = (-14 + 2x + (-63x + 9x2)) Combine like terms: 2x + -63x = -61x 0 = (-14 + -61x + 9x2) Solving 0 = -14 + -61x + 9x2 Solving for variable 'x'. Combine like terms: 0 + 14 = 14 14 + 61x + -9x2 = -14 + -61x + 9x2 + 14 + 61x + -9x2 Reorder the terms: 14 + 61x + -9x2 = -14 + 14 + -61x + 61x + 9x2 + -9x2 Combine like terms: -14 + 14 = 0 14 + 61x + -9x2 = 0 + -61x + 61x + 9x2 + -9x2 14 + 61x + -9x2 = -61x + 61x + 9x2 + -9x2 Combine like terms: -61x + 61x = 0 14 + 61x + -9x2 = 0 + 9x2 + -9x2 14 + 61x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 14 + 61x + -9x2 = 0 Factor a trinomial. (7 + -1x)(2 + 9x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(2 + 9x)' equal to zero and attempt to solve: Simplifying 2 + 9x = 0 Solving 2 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222Solution
x = {7, -0.2222222222}
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