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Simplifying 4x2 + 5x = 174 Reorder the terms: 5x + 4x2 = 174 Solving 5x + 4x2 = 174 Solving for variable 'x'. Reorder the terms: -174 + 5x + 4x2 = 174 + -174 Combine like terms: 174 + -174 = 0 -174 + 5x + 4x2 = 0 Factor a trinomial. (-29 + -4x)(6 + -1x) = 0Subproblem 1
Set the factor '(-29 + -4x)' equal to zero and attempt to solve: Simplifying -29 + -4x = 0 Solving -29 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -4x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -4x = 0 + 29 -4x = 0 + 29 Combine like terms: 0 + 29 = 29 -4x = 29 Divide each side by '-4'. x = -7.25 Simplifying x = -7.25Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-7.25, 6}
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