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Simplifying 45x2 + 42x = 24 Reorder the terms: 42x + 45x2 = 24 Solving 42x + 45x2 = 24 Solving for variable 'x'. Reorder the terms: -24 + 42x + 45x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 42x + 45x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 14x + 15x2) = 0 Factor a trinomial. 3((-4 + -3x)(2 + -5x)) = 0 Ignore the factor 3.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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1.333333333, 0.4}
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