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Simplifying 5x2 + -162x + 1008 = 0 Reorder the terms: 1008 + -162x + 5x2 = 0 Solving 1008 + -162x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (42 + -5x)(24 + -1x) = 0Subproblem 1
Set the factor '(42 + -5x)' equal to zero and attempt to solve: Simplifying 42 + -5x = 0 Solving 42 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -5x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 0 + -42 -5x = 0 + -42 Combine like terms: 0 + -42 = -42 -5x = -42 Divide each side by '-5'. x = 8.4 Simplifying x = 8.4Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {8.4, 24}
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