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Simplifying (6x2 + -5x)(6x2 + 5) = 0 Reorder the terms: (-5x + 6x2)(6x2 + 5) = 0 Reorder the terms: (-5x + 6x2)(5 + 6x2) = 0 Multiply (-5x + 6x2) * (5 + 6x2) (-5x * (5 + 6x2) + 6x2 * (5 + 6x2)) = 0 ((5 * -5x + 6x2 * -5x) + 6x2 * (5 + 6x2)) = 0 ((-25x + -30x3) + 6x2 * (5 + 6x2)) = 0 (-25x + -30x3 + (5 * 6x2 + 6x2 * 6x2)) = 0 (-25x + -30x3 + (30x2 + 36x4)) = 0 Reorder the terms: (-25x + 30x2 + -30x3 + 36x4) = 0 (-25x + 30x2 + -30x3 + 36x4) = 0 Solving -25x + 30x2 + -30x3 + 36x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + 30x + -30x2 + 36x3) = 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 '(-25 + 30x + -30x2 + 36x3)' equal to zero and attempt to solve: Simplifying -25 + 30x + -30x2 + 36x3 = 0 Solving -25 + 30x + -30x2 + 36x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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