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Simplifying 3x2 + 100x = 212 Reorder the terms: 100x + 3x2 = 212 Solving 100x + 3x2 = 212 Solving for variable 'x'. Reorder the terms: -212 + 100x + 3x2 = 212 + -212 Combine like terms: 212 + -212 = 0 -212 + 100x + 3x2 = 0 Factor a trinomial. (-106 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(-106 + -3x)' equal to zero and attempt to solve: Simplifying -106 + -3x = 0 Solving -106 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + -3x = 0 + 106 Combine like terms: -106 + 106 = 0 0 + -3x = 0 + 106 -3x = 0 + 106 Combine like terms: 0 + 106 = 106 -3x = 106 Divide each side by '-3'. x = -35.33333333 Simplifying x = -35.33333333Subproblem 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 = {-35.33333333, 2}
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