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Simplifying 5x[2x + 0] + -81x = 0 Reorder the terms: 5x[0 + 2x] + -81x = 0 Remove the zero: 5x[2x] + -81x = 0 Remove brackets around [2x] 5x * 2x + -81x = 0 Reorder the terms for easier multiplication: 5 * 2x * x + -81x = 0 Multiply 5 * 2 10x * x + -81x = 0 Multiply x * x 10x2 + -81x = 0 Reorder the terms: -81x + 10x2 = 0 Solving -81x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-81 + 10x) = 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 '(-81 + 10x)' equal to zero and attempt to solve: Simplifying -81 + 10x = 0 Solving -81 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 10x = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 10x = 0 + 81 10x = 0 + 81 Combine like terms: 0 + 81 = 81 10x = 81 Divide each side by '10'. x = 8.1 Simplifying x = 8.1Solution
x = {0, 8.1}
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