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Simplifying (5 + -1x)(31 + -5x) = 0 Multiply (5 + -1x) * (31 + -5x) (5(31 + -5x) + -1x * (31 + -5x)) = 0 ((31 * 5 + -5x * 5) + -1x * (31 + -5x)) = 0 ((155 + -25x) + -1x * (31 + -5x)) = 0 (155 + -25x + (31 * -1x + -5x * -1x)) = 0 (155 + -25x + (-31x + 5x2)) = 0 Combine like terms: -25x + -31x = -56x (155 + -56x + 5x2) = 0 Solving 155 + -56x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(31 + -5x) = 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 '(31 + -5x)' equal to zero and attempt to solve: Simplifying 31 + -5x = 0 Solving 31 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -5x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = 0 + -31 -5x = 0 + -31 Combine like terms: 0 + -31 = -31 -5x = -31 Divide each side by '-5'. x = 6.2 Simplifying x = 6.2Solution
x = {5, 6.2}
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