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Simplifying 15x2 + 32x + 9 = -7 Reorder the terms: 9 + 32x + 15x2 = -7 Solving 9 + 32x + 15x2 = -7 Solving for variable 'x'. Reorder the terms: 9 + 7 + 32x + 15x2 = -7 + 7 Combine like terms: 9 + 7 = 16 16 + 32x + 15x2 = -7 + 7 Combine like terms: -7 + 7 = 0 16 + 32x + 15x2 = 0 Factor a trinomial. (4 + 3x)(4 + 5x) = 0Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-1.333333333, -0.8}
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