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Simplifying 15x2 + -14x + 3 = 10x2 + 4x + -6 Reorder the terms: 3 + -14x + 15x2 = 10x2 + 4x + -6 Reorder the terms: 3 + -14x + 15x2 = -6 + 4x + 10x2 Solving 3 + -14x + 15x2 = -6 + 4x + 10x2 Solving for variable 'x'. Reorder the terms: 3 + 6 + -14x + -4x + 15x2 + -10x2 = -6 + 4x + 10x2 + 6 + -4x + -10x2 Combine like terms: 3 + 6 = 9 9 + -14x + -4x + 15x2 + -10x2 = -6 + 4x + 10x2 + 6 + -4x + -10x2 Combine like terms: -14x + -4x = -18x 9 + -18x + 15x2 + -10x2 = -6 + 4x + 10x2 + 6 + -4x + -10x2 Combine like terms: 15x2 + -10x2 = 5x2 9 + -18x + 5x2 = -6 + 4x + 10x2 + 6 + -4x + -10x2 Reorder the terms: 9 + -18x + 5x2 = -6 + 6 + 4x + -4x + 10x2 + -10x2 Combine like terms: -6 + 6 = 0 9 + -18x + 5x2 = 0 + 4x + -4x + 10x2 + -10x2 9 + -18x + 5x2 = 4x + -4x + 10x2 + -10x2 Combine like terms: 4x + -4x = 0 9 + -18x + 5x2 = 0 + 10x2 + -10x2 9 + -18x + 5x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 9 + -18x + 5x2 = 0 Factor a trinomial. (3 + -5x)(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.6, 3}
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