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Simplifying 22x2 + x + -6 = 7x2 Reorder the terms: -6 + x + 22x2 = 7x2 Solving -6 + x + 22x2 = 7x2 Solving for variable 'x'. Combine like terms: 22x2 + -7x2 = 15x2 -6 + x + 15x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -6 + x + 15x2 = 0 Factor a trinomial. (-2 + -3x)(3 + -5x) = 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 '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-0.6666666667, 0.6}
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