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Simplifying 26x = 8x2 + 15 Reorder the terms: 26x = 15 + 8x2 Solving 26x = 15 + 8x2 Solving for variable 'x'. Reorder the terms: -15 + 26x + -8x2 = 15 + 8x2 + -15 + -8x2 Reorder the terms: -15 + 26x + -8x2 = 15 + -15 + 8x2 + -8x2 Combine like terms: 15 + -15 = 0 -15 + 26x + -8x2 = 0 + 8x2 + -8x2 -15 + 26x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -15 + 26x + -8x2 = 0 Factor a trinomial. (-5 + 2x)(3 + -4x) = 0Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 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 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {2.5, 0.75}
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