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Simplifying 10 + 5x2 + 18x = -4x2 + -18x + -10 Reorder the terms: 10 + 18x + 5x2 = -4x2 + -18x + -10 Reorder the terms: 10 + 18x + 5x2 = -10 + -18x + -4x2 Solving 10 + 18x + 5x2 = -10 + -18x + -4x2 Solving for variable 'x'. Reorder the terms: 10 + 10 + 18x + 18x + 5x2 + 4x2 = -10 + -18x + -4x2 + 10 + 18x + 4x2 Combine like terms: 10 + 10 = 20 20 + 18x + 18x + 5x2 + 4x2 = -10 + -18x + -4x2 + 10 + 18x + 4x2 Combine like terms: 18x + 18x = 36x 20 + 36x + 5x2 + 4x2 = -10 + -18x + -4x2 + 10 + 18x + 4x2 Combine like terms: 5x2 + 4x2 = 9x2 20 + 36x + 9x2 = -10 + -18x + -4x2 + 10 + 18x + 4x2 Reorder the terms: 20 + 36x + 9x2 = -10 + 10 + -18x + 18x + -4x2 + 4x2 Combine like terms: -10 + 10 = 0 20 + 36x + 9x2 = 0 + -18x + 18x + -4x2 + 4x2 20 + 36x + 9x2 = -18x + 18x + -4x2 + 4x2 Combine like terms: -18x + 18x = 0 20 + 36x + 9x2 = 0 + -4x2 + 4x2 20 + 36x + 9x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 20 + 36x + 9x2 = 0 Factor a trinomial. (10 + 3x)(2 + 3x) = 0Subproblem 1
Set the factor '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-3.333333333, -0.6666666667}
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