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Simplifying (5x + 3)(10x + -2) = 56x2 Reorder the terms: (3 + 5x)(10x + -2) = 56x2 Reorder the terms: (3 + 5x)(-2 + 10x) = 56x2 Multiply (3 + 5x) * (-2 + 10x) (3(-2 + 10x) + 5x * (-2 + 10x)) = 56x2 ((-2 * 3 + 10x * 3) + 5x * (-2 + 10x)) = 56x2 ((-6 + 30x) + 5x * (-2 + 10x)) = 56x2 (-6 + 30x + (-2 * 5x + 10x * 5x)) = 56x2 (-6 + 30x + (-10x + 50x2)) = 56x2 Combine like terms: 30x + -10x = 20x (-6 + 20x + 50x2) = 56x2 Solving -6 + 20x + 50x2 = 56x2 Solving for variable 'x'. Combine like terms: 50x2 + -56x2 = -6x2 -6 + 20x + -6x2 = 56x2 + -56x2 Combine like terms: 56x2 + -56x2 = 0 -6 + 20x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 10x + -3x2) = 0 Factor a trinomial. 2((-3 + x)(1 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 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 = {3, 0.3333333333}
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