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Simplifying 8x2 + 22x + 15 = 120 Reorder the terms: 15 + 22x + 8x2 = 120 Solving 15 + 22x + 8x2 = 120 Solving for variable 'x'. Reorder the terms: 15 + -120 + 22x + 8x2 = 120 + -120 Combine like terms: 15 + -120 = -105 -105 + 22x + 8x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -105 + 22x + 8x2 = 0 Factor a trinomial. (-21 + -4x)(5 + -2x) = 0Subproblem 1
Set the factor '(-21 + -4x)' equal to zero and attempt to solve: Simplifying -21 + -4x = 0 Solving -21 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 0 + 21 -4x = 0 + 21 Combine like terms: 0 + 21 = 21 -4x = 21 Divide each side by '-4'. x = -5.25 Simplifying x = -5.25Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-5.25, 2.5}
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