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Simplifying 4x2 + 7x + -15 = 15 Reorder the terms: -15 + 7x + 4x2 = 15 Solving -15 + 7x + 4x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + -15 + 7x + 4x2 = 15 + -15 Combine like terms: -15 + -15 = -30 -30 + 7x + 4x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -30 + 7x + 4x2 = 0 Factor a trinomial. (-15 + -4x)(2 + -1x) = 0Subproblem 1
Set the factor '(-15 + -4x)' equal to zero and attempt to solve: Simplifying -15 + -4x = 0 Solving -15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 0 + 15 -4x = 0 + 15 Combine like terms: 0 + 15 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3.75, 2}
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