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Simplifying 3x2 + -1x + -10 = 20 Reorder the terms: -10 + -1x + 3x2 = 20 Solving -10 + -1x + 3x2 = 20 Solving for variable 'x'. Reorder the terms: -10 + -20 + -1x + 3x2 = 20 + -20 Combine like terms: -10 + -20 = -30 -30 + -1x + 3x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -30 + -1x + 3x2 = 0 Factor a trinomial. (-3 + -1x)(10 + -3x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
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 = 3.333333333Solution
x = {-3, 3.333333333}
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