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Simplifying x(9x + 32) + 28 = 0 Reorder the terms: x(32 + 9x) + 28 = 0 (32 * x + 9x * x) + 28 = 0 (32x + 9x2) + 28 = 0 Reorder the terms: 28 + 32x + 9x2 = 0 Solving 28 + 32x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(14 + 9x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(14 + 9x)' equal to zero and attempt to solve: Simplifying 14 + 9x = 0 Solving 14 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 0 + -14 9x = 0 + -14 Combine like terms: 0 + -14 = -14 9x = -14 Divide each side by '9'. x = -1.555555556 Simplifying x = -1.555555556Solution
x = {-2, -1.555555556}
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