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Simplifying 15x2 + 3x = x + 24 Reorder the terms: 3x + 15x2 = x + 24 Reorder the terms: 3x + 15x2 = 24 + x Solving 3x + 15x2 = 24 + x Solving for variable 'x'. Reorder the terms: -24 + 3x + -1x + 15x2 = 24 + x + -24 + -1x Combine like terms: 3x + -1x = 2x -24 + 2x + 15x2 = 24 + x + -24 + -1x Reorder the terms: -24 + 2x + 15x2 = 24 + -24 + x + -1x Combine like terms: 24 + -24 = 0 -24 + 2x + 15x2 = 0 + x + -1x -24 + 2x + 15x2 = x + -1x Combine like terms: x + -1x = 0 -24 + 2x + 15x2 = 0 Factor a trinomial. (-4 + -3x)(6 + -5x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-1.333333333, 1.2}
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