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Simplifying 10x2 + 37x + 3 = -4 Reorder the terms: 3 + 37x + 10x2 = -4 Solving 3 + 37x + 10x2 = -4 Solving for variable 'x'. Reorder the terms: 3 + 4 + 37x + 10x2 = -4 + 4 Combine like terms: 3 + 4 = 7 7 + 37x + 10x2 = -4 + 4 Combine like terms: -4 + 4 = 0 7 + 37x + 10x2 = 0 Factor a trinomial. (7 + 2x)(1 + 5x) = 0Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {-3.5, -0.2}
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