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Simplifying 42x9 = 7x(6x) Remove parenthesis around (6x) 42x9 = 7x * 6x Reorder the terms for easier multiplication: 42x9 = 7 * 6x * x Multiply 7 * 6 42x9 = 42x * x Multiply x * x 42x9 = 42x2 Solving 42x9 = 42x2 Solving for variable 'x'. Reorder the terms: -42x2 + 42x9 = 42x2 + -42x2 Combine like terms: 42x2 + -42x2 = 0 -42x2 + 42x9 = 0 Factor out the Greatest Common Factor (GCF), '42x2'. 42x2(-1 + x7) = 0 Ignore the factor 42.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1 + x7)' equal to zero and attempt to solve: Simplifying -1 + x7 = 0 Solving -1 + x7 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x7 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x7 = 0 + 1 x7 = 0 + 1 Combine like terms: 0 + 1 = 1 x7 = 1 Simplifying x7 = 1 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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