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Simplifying 3x2 + 4x + -7 = 13 Reorder the terms: -7 + 4x + 3x2 = 13 Solving -7 + 4x + 3x2 = 13 Solving for variable 'x'. Reorder the terms: -7 + -13 + 4x + 3x2 = 13 + -13 Combine like terms: -7 + -13 = -20 -20 + 4x + 3x2 = 13 + -13 Combine like terms: 13 + -13 = 0 -20 + 4x + 3x2 = 0 Factor a trinomial. (-10 + -3x)(2 + -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 '(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 = {-3.333333333, 2}
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