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Simplifying x2 + 58 = 15x + 8 Reorder the terms: 58 + x2 = 15x + 8 Reorder the terms: 58 + x2 = 8 + 15x Solving 58 + x2 = 8 + 15x Solving for variable 'x'. Reorder the terms: 58 + -8 + -15x + x2 = 8 + 15x + -8 + -15x Combine like terms: 58 + -8 = 50 50 + -15x + x2 = 8 + 15x + -8 + -15x Reorder the terms: 50 + -15x + x2 = 8 + -8 + 15x + -15x Combine like terms: 8 + -8 = 0 50 + -15x + x2 = 0 + 15x + -15x 50 + -15x + x2 = 15x + -15x Combine like terms: 15x + -15x = 0 50 + -15x + x2 = 0 Factor a trinomial. (5 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {5, 10}
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