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Simplifying 15x2 = 23x + 22 Reorder the terms: 15x2 = 22 + 23x Solving 15x2 = 22 + 23x Solving for variable 'x'. Reorder the terms: -22 + -23x + 15x2 = 22 + 23x + -22 + -23x Reorder the terms: -22 + -23x + 15x2 = 22 + -22 + 23x + -23x Combine like terms: 22 + -22 = 0 -22 + -23x + 15x2 = 0 + 23x + -23x -22 + -23x + 15x2 = 23x + -23x Combine like terms: 23x + -23x = 0 -22 + -23x + 15x2 = 0 Factor a trinomial. (-2 + -3x)(11 + -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 '(11 + -5x)' equal to zero and attempt to solve: Simplifying 11 + -5x = 0 Solving 11 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 0 + -11 -5x = 0 + -11 Combine like terms: 0 + -11 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2Solution
x = {-0.6666666667, 2.2}
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