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Simplifying 4x2 + -1x + -23 = 72 Reorder the terms: -23 + -1x + 4x2 = 72 Solving -23 + -1x + 4x2 = 72 Solving for variable 'x'. Reorder the terms: -23 + -72 + -1x + 4x2 = 72 + -72 Combine like terms: -23 + -72 = -95 -95 + -1x + 4x2 = 72 + -72 Combine like terms: 72 + -72 = 0 -95 + -1x + 4x2 = 0 Factor a trinomial. (-19 + -4x)(5 + -1x) = 0Subproblem 1
Set the factor '(-19 + -4x)' equal to zero and attempt to solve: Simplifying -19 + -4x = 0 Solving -19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 0 + 19 -4x = 0 + 19 Combine like terms: 0 + 19 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4.75, 5}
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