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Simplifying 10x2 + 37x + 18 = -12 Reorder the terms: 18 + 37x + 10x2 = -12 Solving 18 + 37x + 10x2 = -12 Solving for variable 'x'. Reorder the terms: 18 + 12 + 37x + 10x2 = -12 + 12 Combine like terms: 18 + 12 = 30 30 + 37x + 10x2 = -12 + 12 Combine like terms: -12 + 12 = 0 30 + 37x + 10x2 = 0 Factor a trinomial. (5 + 2x)(6 + 5x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-2.5, -1.2}
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