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Simplifying Solve(2x + y)(2x + y) = 0 Multiply (2x + y) * (2x + y) elovS(2x * (2x + y) + y(2x + y)) = 0 elovS((2x * 2x + y * 2x) + y(2x + y)) = 0 Reorder the terms: elovS((2xy + 4x2) + y(2x + y)) = 0 elovS((2xy + 4x2) + y(2x + y)) = 0 elovS(2xy + 4x2 + (2x * y + y * y)) = 0 elovS(2xy + 4x2 + (2xy + y2)) = 0 Reorder the terms: elovS(2xy + 2xy + 4x2 + y2) = 0 Combine like terms: 2xy + 2xy = 4xy elovS(4xy + 4x2 + y2) = 0 (4xy * elovS + 4x2 * elovS + y2 * elovS) = 0 (4elovxyS + 4elovx2S + elovy2S) = 0 Solving 4elovxyS + 4elovx2S + elovy2S = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'elovS'. elovS(4xy + 4x2 + y2) = 0 Factor a trinomial. elovS((2x + y)(2x + y)) = 0Subproblem 1
Set the factor 'elovS' equal to zero and attempt to solve: Simplifying elovS = 0 Solving elovS = 0 Move all terms containing e to the left, all other terms to the right. Simplifying elovS = 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 '(2x + y)' equal to zero and attempt to solve: Simplifying 2x + y = 0 Solving 2x + y = 0 Move all terms containing e to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + y = 0 + -2x y = 0 + -2x Remove the zero: y = -2x Add '-1y' to each side of the equation. y + -1y = -2x + -1y Combine like terms: y + -1y = 0 0 = -2x + -1y Simplifying 0 = -2x + -1y 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 '(2x + y)' equal to zero and attempt to solve: Simplifying 2x + y = 0 Solving 2x + y = 0 Move all terms containing e to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + y = 0 + -2x y = 0 + -2x Remove the zero: y = -2x Add '-1y' to each side of the equation. y + -1y = -2x + -1y Combine like terms: y + -1y = 0 0 = -2x + -1y Simplifying 0 = -2x + -1y 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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