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Simplifying 15x7 = 12x10 + 3x13 Solving 15x7 = 12x10 + 3x13 Solving for variable 'x'. Reorder the terms: 15x7 + -12x10 + -3x13 = 12x10 + -12x10 + 3x13 + -3x13 Combine like terms: 12x10 + -12x10 = 0 15x7 + -12x10 + -3x13 = 0 + 3x13 + -3x13 15x7 + -12x10 + -3x13 = 3x13 + -3x13 Combine like terms: 3x13 + -3x13 = 0 15x7 + -12x10 + -3x13 = 0 Factor out the Greatest Common Factor (GCF), '3x7'. 3x7(5 + -4x3 + -1x6) = 0 Factor a trinomial. 3x7((1 + -1x3)(5 + x3)) = 0 Ignore the factor 3.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 '(1 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 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 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + x3)' equal to zero and attempt to solve: Simplifying 5 + x3 = 0 Solving 5 + x3 = 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 + x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x3 = 0 + -5 x3 = 0 + -5 Combine like terms: 0 + -5 = -5 x3 = -5 Simplifying x3 = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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