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Simplifying (-31 + -2x)(2 + -1x) = 0 Multiply (-31 + -2x) * (2 + -1x) (-31(2 + -1x) + -2x * (2 + -1x)) = 0 ((2 * -31 + -1x * -31) + -2x * (2 + -1x)) = 0 ((-62 + 31x) + -2x * (2 + -1x)) = 0 (-62 + 31x + (2 * -2x + -1x * -2x)) = 0 (-62 + 31x + (-4x + 2x2)) = 0 Combine like terms: 31x + -4x = 27x (-62 + 27x + 2x2) = 0 Solving -62 + 27x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-31 + -2x)(2 + -1x) = 0Subproblem 1
Set the factor '(-31 + -2x)' equal to zero and attempt to solve: Simplifying -31 + -2x = 0 Solving -31 + -2x = 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 + -2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = 0 + 31 -2x = 0 + 31 Combine like terms: 0 + 31 = 31 -2x = 31 Divide each side by '-2'. x = -15.5 Simplifying x = -15.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-15.5, 2}
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