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Simplifying 4x * 5x = 6x + 7x Reorder the terms for easier multiplication: 4 * 5x * x = 6x + 7x Multiply 4 * 5 20x * x = 6x + 7x Multiply x * x 20x2 = 6x + 7x Combine like terms: 6x + 7x = 13x 20x2 = 13x Solving 20x2 = 13x Solving for variable 'x'. Reorder the terms: -13x + 20x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -13x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 20x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-13 + 20x)' equal to zero and attempt to solve: Simplifying -13 + 20x = 0 Solving -13 + 20x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 20x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 20x = 0 + 13 20x = 0 + 13 Combine like terms: 0 + 13 = 13 20x = 13 Divide each side by '20'. x = 0.65 Simplifying x = 0.65Solution
x = {0, 0.65}
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