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Simplifying (40x2) + (333x) + 65 = 0 Reorder the terms: 65 + (333x) + (40x2) = 0 Solving 65 + (333x) + (40x2) = 0 Solving for variable 'x'. Factor a trinomial. (65 + 8x)(1 + 5x) = 0Subproblem 1
Set the factor '(65 + 8x)' equal to zero and attempt to solve: Simplifying 65 + 8x = 0 Solving 65 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 8x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 8x = 0 + -65 8x = 0 + -65 Combine like terms: 0 + -65 = -65 8x = -65 Divide each side by '8'. x = -8.125 Simplifying x = -8.125Subproblem 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 = {-8.125, -0.2}
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