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Simplifying -3x2 + 7x = -10 Reorder the terms: 7x + -3x2 = -10 Solving 7x + -3x2 = -10 Solving for variable 'x'. Reorder the terms: 10 + 7x + -3x2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 7x + -3x2 = 0 Factor a trinomial. (10 + -3x)(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {3.333333333, -1}
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