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Simplifying 5x2 + 6x + 2 = 370 Reorder the terms: 2 + 6x + 5x2 = 370 Solving 2 + 6x + 5x2 = 370 Solving for variable 'x'. Reorder the terms: 2 + -370 + 6x + 5x2 = 370 + -370 Combine like terms: 2 + -370 = -368 -368 + 6x + 5x2 = 370 + -370 Combine like terms: 370 + -370 = 0 -368 + 6x + 5x2 = 0 Factor a trinomial. (-46 + -5x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-9.2, 8}
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