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Simplifying (x + -10)(5x + -46) = 0 Reorder the terms: (-10 + x)(5x + -46) = 0 Reorder the terms: (-10 + x)(-46 + 5x) = 0 Multiply (-10 + x) * (-46 + 5x) (-10(-46 + 5x) + x(-46 + 5x)) = 0 ((-46 * -10 + 5x * -10) + x(-46 + 5x)) = 0 ((460 + -50x) + x(-46 + 5x)) = 0 (460 + -50x + (-46 * x + 5x * x)) = 0 (460 + -50x + (-46x + 5x2)) = 0 Combine like terms: -50x + -46x = -96x (460 + -96x + 5x2) = 0 Solving 460 + -96x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (46 + -5x)(10 + -1x) = 0Subproblem 1
Set the factor '(46 + -5x)' equal to zero and attempt to solve: Simplifying 46 + -5x = 0 Solving 46 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -5x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -5x = 0 + -46 -5x = 0 + -46 Combine like terms: 0 + -46 = -46 -5x = -46 Divide each side by '-5'. x = 9.2 Simplifying x = 9.2Subproblem 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 = {9.2, 10}
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