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Simplifying 6x(10 + x) = 6ox + 6x (10 * 6x + x * 6x) = 6ox + 6x (60x + 6x2) = 6ox + 6x Solving 60x + 6x2 = 6ox + 6x Solving for variable 'x'. Reorder the terms: -6ox + 60x + -6x + 6x2 = 6ox + 6x + -6ox + -6x Combine like terms: 60x + -6x = 54x -6ox + 54x + 6x2 = 6ox + 6x + -6ox + -6x Reorder the terms: -6ox + 54x + 6x2 = 6ox + -6ox + 6x + -6x Combine like terms: 6ox + -6ox = 0 -6ox + 54x + 6x2 = 0 + 6x + -6x -6ox + 54x + 6x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -6ox + 54x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-1o + 9 + x) = 0 Ignore the factor 6.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 '(-1o + 9 + x)' equal to zero and attempt to solve: Simplifying -1o + 9 + x = 0 Reorder the terms: 9 + -1o + x = 0 Solving 9 + -1o + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1o + -9 + x = 0 + -9 Reorder the terms: 9 + -9 + -1o + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1o + x = 0 + -9 -1o + x = 0 + -9 Combine like terms: 0 + -9 = -9 -1o + x = -9 Add 'o' to each side of the equation. -1o + o + x = -9 + o Combine like terms: -1o + o = 0 0 + x = -9 + o x = -9 + o Simplifying x = -9 + oSolution
x = {0, -9 + o}
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