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Simplifying x(7y + -3)(7y + 3) = 0 Reorder the terms: x(-3 + 7y)(7y + 3) = 0 Reorder the terms: x(-3 + 7y)(3 + 7y) = 0 Multiply (-3 + 7y) * (3 + 7y) x(-3(3 + 7y) + 7y * (3 + 7y)) = 0 x((3 * -3 + 7y * -3) + 7y * (3 + 7y)) = 0 x((-9 + -21y) + 7y * (3 + 7y)) = 0 x(-9 + -21y + (3 * 7y + 7y * 7y)) = 0 x(-9 + -21y + (21y + 49y2)) = 0 Combine like terms: -21y + 21y = 0 x(-9 + 0 + 49y2) = 0 x(-9 + 49y2) = 0 (-9 * x + 49y2 * x) = 0 (-9x + 49xy2) = 0 Solving -9x + 49xy2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 49y2) = 0 Factor a difference between two squares. x((3 + 7y)(-3 + 7y)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + 7y)' equal to zero and attempt to solve: Simplifying 3 + 7y = 0 Solving 3 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 0 + -3 7y = 0 + -3 Combine like terms: 0 + -3 = -3 7y = -3 Add '-7y' to each side of the equation. 7y + -7y = -3 + -7y Combine like terms: 7y + -7y = 0 0 = -3 + -7y Simplifying 0 = -3 + -7y 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 '(-3 + 7y)' equal to zero and attempt to solve: Simplifying -3 + 7y = 0 Solving -3 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7y = 0 + 3 7y = 0 + 3 Combine like terms: 0 + 3 = 3 7y = 3 Add '-7y' to each side of the equation. 7y + -7y = 3 + -7y Combine like terms: 7y + -7y = 0 0 = 3 + -7y Simplifying 0 = 3 + -7y 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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