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Simplifying 5x2 + -8x + 4 = 628 Reorder the terms: 4 + -8x + 5x2 = 628 Solving 4 + -8x + 5x2 = 628 Solving for variable 'x'. Reorder the terms: 4 + -628 + -8x + 5x2 = 628 + -628 Combine like terms: 4 + -628 = -624 -624 + -8x + 5x2 = 628 + -628 Combine like terms: 628 + -628 = 0 -624 + -8x + 5x2 = 0 Factor a trinomial. (-52 + -5x)(12 + -1x) = 0Subproblem 1
Set the factor '(-52 + -5x)' equal to zero and attempt to solve: Simplifying -52 + -5x = 0 Solving -52 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -5x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -5x = 0 + 52 -5x = 0 + 52 Combine like terms: 0 + 52 = 52 -5x = 52 Divide each side by '-5'. x = -10.4 Simplifying x = -10.4Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-10.4, 12}
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