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Simplifying 4x2 + 7x = 92 Reorder the terms: 7x + 4x2 = 92 Solving 7x + 4x2 = 92 Solving for variable 'x'. Reorder the terms: -92 + 7x + 4x2 = 92 + -92 Combine like terms: 92 + -92 = 0 -92 + 7x + 4x2 = 0 Factor a trinomial. (-23 + -4x)(4 + -1x) = 0Subproblem 1
Set the factor '(-23 + -4x)' equal to zero and attempt to solve: Simplifying -23 + -4x = 0 Solving -23 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -4x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -4x = 0 + 23 -4x = 0 + 23 Combine like terms: 0 + 23 = 23 -4x = 23 Divide each side by '-4'. x = -5.75 Simplifying x = -5.75Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-5.75, 4}
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