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Simplifying x = 3x2 + -7x + 4 Reorder the terms: x = 4 + -7x + 3x2 Solving x = 4 + -7x + 3x2 Solving for variable 'x'. Reorder the terms: -4 + x + 7x + -3x2 = 4 + -7x + 3x2 + -4 + 7x + -3x2 Combine like terms: x + 7x = 8x -4 + 8x + -3x2 = 4 + -7x + 3x2 + -4 + 7x + -3x2 Reorder the terms: -4 + 8x + -3x2 = 4 + -4 + -7x + 7x + 3x2 + -3x2 Combine like terms: 4 + -4 = 0 -4 + 8x + -3x2 = 0 + -7x + 7x + 3x2 + -3x2 -4 + 8x + -3x2 = -7x + 7x + 3x2 + -3x2 Combine like terms: -7x + 7x = 0 -4 + 8x + -3x2 = 0 + 3x2 + -3x2 -4 + 8x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4 + 8x + -3x2 = 0 Factor a trinomial. (-2 + x)(2 + -3x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
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 = 0.6666666667Solution
x = {2, 0.6666666667}
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