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Simplifying 7x2 + 23x + 15 = 9 Reorder the terms: 15 + 23x + 7x2 = 9 Solving 15 + 23x + 7x2 = 9 Solving for variable 'x'. Reorder the terms: 15 + -9 + 23x + 7x2 = 9 + -9 Combine like terms: 15 + -9 = 6 6 + 23x + 7x2 = 9 + -9 Combine like terms: 9 + -9 = 0 6 + 23x + 7x2 = 0 Factor a trinomial. (3 + x)(2 + 7x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {-3, -0.2857142857}
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