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Simplifying 15(x2 + 1) = 34x Reorder the terms: 15(1 + x2) = 34x (1 * 15 + x2 * 15) = 34x (15 + 15x2) = 34x Solving 15 + 15x2 = 34x Solving for variable 'x'. Reorder the terms: 15 + -34x + 15x2 = 34x + -34x Combine like terms: 34x + -34x = 0 15 + -34x + 15x2 = 0 Factor a trinomial. (3 + -5x)(5 + -3x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0.6, 1.666666667}
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