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Simplifying 40x2 = 33x + -5 Reorder the terms: 40x2 = -5 + 33x Solving 40x2 = -5 + 33x Solving for variable 'x'. Reorder the terms: 5 + -33x + 40x2 = -5 + 33x + 5 + -33x Reorder the terms: 5 + -33x + 40x2 = -5 + 5 + 33x + -33x Combine like terms: -5 + 5 = 0 5 + -33x + 40x2 = 0 + 33x + -33x 5 + -33x + 40x2 = 33x + -33x Combine like terms: 33x + -33x = 0 5 + -33x + 40x2 = 0 Factor a trinomial. (1 + -5x)(5 + -8x) = 0Subproblem 1
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 = 0.2Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 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 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {0.2, 0.625}
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