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Simplifying 30x2 + 25x = 20 Reorder the terms: 25x + 30x2 = 20 Solving 25x + 30x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + 25x + 30x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 25x + 30x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + 5x + 6x2) = 0 Factor a trinomial. 5((-4 + -3x)(1 + -2x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 0.5}
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