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Simplifying 5x(x + 42x) = 3(22x + x) Combine like terms: x + 42x = 43x 5x(43x) = 3(22x + x) Remove parenthesis around (43x) 5x * 43x = 3(22x + x) Reorder the terms for easier multiplication: 5 * 43x * x = 3(22x + x) Multiply 5 * 43 215x * x = 3(22x + x) Multiply x * x 215x2 = 3(22x + x) Combine like terms: 22x + x = 23x 215x2 = 3(23x) Remove parenthesis around (23x) 215x2 = 3 * 23x Multiply 3 * 23 215x2 = 69x Solving 215x2 = 69x Solving for variable 'x'. Reorder the terms: -69x + 215x2 = 69x + -69x Combine like terms: 69x + -69x = 0 -69x + 215x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-69 + 215x) = 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 '(-69 + 215x)' equal to zero and attempt to solve: Simplifying -69 + 215x = 0 Solving -69 + 215x = 0 Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + 215x = 0 + 69 Combine like terms: -69 + 69 = 0 0 + 215x = 0 + 69 215x = 0 + 69 Combine like terms: 0 + 69 = 69 215x = 69 Divide each side by '215'. x = 0.3209302326 Simplifying x = 0.3209302326Solution
x = {0, 0.3209302326}
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