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Simplifying 6x2 + 8x2 = cx2 Combine like terms: 6x2 + 8x2 = 14x2 14x2 = cx2 Solving 14x2 = cx2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1cx2' to each side of the equation. -1cx2 + 14x2 = cx2 + -1cx2 Combine like terms: cx2 + -1cx2 = 0 -1cx2 + 14x2 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-1c + 14) = 0Subproblem 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 '(-1c + 14)' equal to zero and attempt to solve: Simplifying -1c + 14 = 0 Reorder the terms: 14 + -1c = 0 Solving 14 + -1c = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1c = 0 + -14 -1c = 0 + -14 Combine like terms: 0 + -14 = -14 -1c = -14 Add 'c' to each side of the equation. -1c + c = -14 + c Combine like terms: -1c + c = 0 0 = -14 + c Simplifying 0 = -14 + c 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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