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Simplifying 7 = 3x2 + -4x Reorder the terms: 7 = -4x + 3x2 Solving 7 = -4x + 3x2 Solving for variable 'x'. Reorder the terms: 7 + 4x + -3x2 = -4x + 4x + 3x2 + -3x2 Combine like terms: -4x + 4x = 0 7 + 4x + -3x2 = 0 + 3x2 + -3x2 7 + 4x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 7 + 4x + -3x2 = 0 Factor a trinomial. (7 + -3x)(1 + x) = 0Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Subproblem 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 = {2.333333333, -1}
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