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Simplifying 3x2 + -5x + 5 = 33 Reorder the terms: 5 + -5x + 3x2 = 33 Solving 5 + -5x + 3x2 = 33 Solving for variable 'x'. Reorder the terms: 5 + -33 + -5x + 3x2 = 33 + -33 Combine like terms: 5 + -33 = -28 -28 + -5x + 3x2 = 33 + -33 Combine like terms: 33 + -33 = 0 -28 + -5x + 3x2 = 0 Factor a trinomial. (-7 + -3x)(4 + -1x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 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 = {-2.333333333, 4}
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