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Simplifying 6x(6x + 5) + 8x(x + -5) = 0 Reorder the terms: 6x(5 + 6x) + 8x(x + -5) = 0 (5 * 6x + 6x * 6x) + 8x(x + -5) = 0 (30x + 36x2) + 8x(x + -5) = 0 Reorder the terms: 30x + 36x2 + 8x(-5 + x) = 0 30x + 36x2 + (-5 * 8x + x * 8x) = 0 30x + 36x2 + (-40x + 8x2) = 0 Reorder the terms: 30x + -40x + 36x2 + 8x2 = 0 Combine like terms: 30x + -40x = -10x -10x + 36x2 + 8x2 = 0 Combine like terms: 36x2 + 8x2 = 44x2 -10x + 44x2 = 0 Solving -10x + 44x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + 22x) = 0 Ignore the factor 2.Subproblem 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 '(-5 + 22x)' equal to zero and attempt to solve: Simplifying -5 + 22x = 0 Solving -5 + 22x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 22x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 22x = 0 + 5 22x = 0 + 5 Combine like terms: 0 + 5 = 5 22x = 5 Divide each side by '22'. x = 0.2272727273 Simplifying x = 0.2272727273Solution
x = {0, 0.2272727273}
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