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Simplifying (4x2) + 37x + 75 = 0 Reorder the terms: 75 + 37x + (4x2) = 0 Solving 75 + 37x + (4x2) = 0 Solving for variable 'x'. Factor a trinomial. (25 + 4x)(3 + x) = 0Subproblem 1
Set the factor '(25 + 4x)' equal to zero and attempt to solve: Simplifying 25 + 4x = 0 Solving 25 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 0 + -25 4x = 0 + -25 Combine like terms: 0 + -25 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25Subproblem 2
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 = -3Solution
x = {-6.25, -3}
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