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Simplifying (7y + -2)(7y + 2) * simplfy = 0 Reorder the terms: (-2 + 7y)(7y + 2) * simplfy = 0 Reorder the terms: (-2 + 7y)(2 + 7y) * simplfy = 0 Reorder the terms for easier multiplication: filmpsy(-2 + 7y)(2 + 7y) = 0 Multiply (-2 + 7y) * (2 + 7y) filmpsy(-2(2 + 7y) + 7y * (2 + 7y)) = 0 filmpsy((2 * -2 + 7y * -2) + 7y * (2 + 7y)) = 0 filmpsy((-4 + -14y) + 7y * (2 + 7y)) = 0 filmpsy(-4 + -14y + (2 * 7y + 7y * 7y)) = 0 filmpsy(-4 + -14y + (14y + 49y2)) = 0 Combine like terms: -14y + 14y = 0 filmpsy(-4 + 0 + 49y2) = 0 filmpsy(-4 + 49y2) = 0 (-4 * filmpsy + 49y2 * filmpsy) = 0 (-4filmpsy + 49filmpsy3) = 0 Solving -4filmpsy + 49filmpsy3 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'filmpsy'. filmpsy(-4 + 49y2) = 0 Factor a difference between two squares. filmpsy((2 + 7y)(-2 + 7y)) = 0Subproblem 1
Set the factor 'filmpsy' equal to zero and attempt to solve: Simplifying filmpsy = 0 Solving filmpsy = 0 Move all terms containing f to the left, all other terms to the right. Simplifying filmpsy = 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 '(2 + 7y)' equal to zero and attempt to solve: Simplifying 2 + 7y = 0 Solving 2 + 7y = 0 Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Add '-7y' to each side of the equation. 7y + -7y = -2 + -7y Combine like terms: 7y + -7y = 0 0 = -2 + -7y Simplifying 0 = -2 + -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 '(-2 + 7y)' equal to zero and attempt to solve: Simplifying -2 + 7y = 0 Solving -2 + 7y = 0 Move all terms containing f to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 0 + 2 7y = 0 + 2 Combine like terms: 0 + 2 = 2 7y = 2 Add '-7y' to each side of the equation. 7y + -7y = 2 + -7y Combine like terms: 7y + -7y = 0 0 = 2 + -7y Simplifying 0 = 2 + -7y 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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