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Simplifying 4x2 + 3x2 = yx2 Combine like terms: 4x2 + 3x2 = 7x2 7x2 = yx2 Solving 7x2 = x2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2y' to each side of the equation. 7x2 + -1x2y = x2y + -1x2y Combine like terms: x2y + -1x2y = 0 7x2 + -1x2y = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(7 + -1y) = 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 '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Add 'y' to each side of the equation. -1y + y = -7 + y Combine like terms: -1y + y = 0 0 = -7 + y Simplifying 0 = -7 + y 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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