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Simplifying -6x7(-2x + 9) = 0 Reorder the terms: -6x7(9 + -2x) = 0 (9 * -6x7 + -2x * -6x7) = 0 (-54x7 + 12x8) = 0 Solving -54x7 + 12x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x7'. 6x7(-9 + 2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5Solution
x = {4.5}
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