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Simplifying 12x + 4 = 15x2 + 5x Reorder the terms: 4 + 12x = 15x2 + 5x Reorder the terms: 4 + 12x = 5x + 15x2 Solving 4 + 12x = 5x + 15x2 Solving for variable 'x'. Combine like terms: 12x + -5x = 7x 4 + 7x + -15x2 = 5x + 15x2 + -5x + -15x2 Reorder the terms: 4 + 7x + -15x2 = 5x + -5x + 15x2 + -15x2 Combine like terms: 5x + -5x = 0 4 + 7x + -15x2 = 0 + 15x2 + -15x2 4 + 7x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 4 + 7x + -15x2 = 0 Factor a trinomial. (4 + -5x)(1 + 3x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {0.8, -0.3333333333}
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