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Simplifying 45x2 + 30x = -5 Reorder the terms: 30x + 45x2 = -5 Solving 30x + 45x2 = -5 Solving for variable 'x'. Reorder the terms: 5 + 30x + 45x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 30x + 45x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 6x + 9x2) = 0 Factor a trinomial. 5((1 + 3x)(1 + 3x)) = 0 Ignore the factor 5.Subproblem 1
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 = -0.3333333333Subproblem 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 = {-0.3333333333, -0.3333333333}
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