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Simplifying 15x2 = 26x + 21 Reorder the terms: 15x2 = 21 + 26x Solving 15x2 = 21 + 26x Solving for variable 'x'. Reorder the terms: -21 + -26x + 15x2 = 21 + 26x + -21 + -26x Reorder the terms: -21 + -26x + 15x2 = 21 + -21 + 26x + -26x Combine like terms: 21 + -21 = 0 -21 + -26x + 15x2 = 0 + 26x + -26x -21 + -26x + 15x2 = 26x + -26x Combine like terms: 26x + -26x = 0 -21 + -26x + 15x2 = 0 Factor a trinomial. (-3 + -5x)(7 + -3x) = 0Subproblem 1
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 = -0.6Subproblem 2
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 = 2.333333333Solution
x = {-0.6, 2.333333333}
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