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Simplifying 15x + 5 = 18x2 + 6x Reorder the terms: 5 + 15x = 18x2 + 6x Reorder the terms: 5 + 15x = 6x + 18x2 Solving 5 + 15x = 6x + 18x2 Solving for variable 'x'. Combine like terms: 15x + -6x = 9x 5 + 9x + -18x2 = 6x + 18x2 + -6x + -18x2 Reorder the terms: 5 + 9x + -18x2 = 6x + -6x + 18x2 + -18x2 Combine like terms: 6x + -6x = 0 5 + 9x + -18x2 = 0 + 18x2 + -18x2 5 + 9x + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 5 + 9x + -18x2 = 0 Factor a trinomial. (5 + -6x)(1 + 3x) = 0Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 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 = {0.8333333333, -0.3333333333}
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