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Simplifying 3(x)(x) + 7x + -4 = 11x Multiply x * x 3x2 + 7x + -4 = 11x Reorder the terms: -4 + 7x + 3x2 = 11x Solving -4 + 7x + 3x2 = 11x Solving for variable 'x'. Reorder the terms: -4 + 7x + -11x + 3x2 = 11x + -11x Combine like terms: 7x + -11x = -4x -4 + -4x + 3x2 = 11x + -11x Combine like terms: 11x + -11x = 0 -4 + -4x + 3x2 = 0 Factor a trinomial. (-2 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 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 = {-0.6666666667, 2}
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