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Simplifying 2x2 + -15x + 4 = -24 Reorder the terms: 4 + -15x + 2x2 = -24 Solving 4 + -15x + 2x2 = -24 Solving for variable 'x'. Reorder the terms: 4 + 24 + -15x + 2x2 = -24 + 24 Combine like terms: 4 + 24 = 28 28 + -15x + 2x2 = -24 + 24 Combine like terms: -24 + 24 = 0 28 + -15x + 2x2 = 0 Factor a trinomial. (7 + -2x)(4 + -1x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 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 = {3.5, 4}
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