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Simplifying 3(x2) + -5x + 2 = 52 Reorder the terms: 2 + -5x + 3x2 = 52 Solving 2 + -5x + 3x2 = 52 Solving for variable 'x'. Reorder the terms: 2 + -52 + -5x + 3x2 = 52 + -52 Combine like terms: 2 + -52 = -50 -50 + -5x + 3x2 = 52 + -52 Combine like terms: 52 + -52 = 0 -50 + -5x + 3x2 = 0 Factor a trinomial. (-10 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve: Simplifying -10 + -3x = 0 Solving -10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 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 = {-3.333333333, 5}
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