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Simplifying 10x + 5 = 12x2 + 6x Reorder the terms: 5 + 10x = 12x2 + 6x Reorder the terms: 5 + 10x = 6x + 12x2 Solving 5 + 10x = 6x + 12x2 Solving for variable 'x'. Combine like terms: 10x + -6x = 4x 5 + 4x + -12x2 = 6x + 12x2 + -6x + -12x2 Reorder the terms: 5 + 4x + -12x2 = 6x + -6x + 12x2 + -12x2 Combine like terms: 6x + -6x = 0 5 + 4x + -12x2 = 0 + 12x2 + -12x2 5 + 4x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 5 + 4x + -12x2 = 0 Factor a trinomial. (5 + -6x)(1 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0.8333333333, -0.5}
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