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Simplifying (2x + 7z)(2x + 7z) = 0 Multiply (2x + 7z) * (2x + 7z) (2x * (2x + 7z) + 7z * (2x + 7z)) = 0 ((2x * 2x + 7z * 2x) + 7z * (2x + 7z)) = 0 Reorder the terms: ((14xz + 4x2) + 7z * (2x + 7z)) = 0 ((14xz + 4x2) + 7z * (2x + 7z)) = 0 (14xz + 4x2 + (2x * 7z + 7z * 7z)) = 0 (14xz + 4x2 + (14xz + 49z2)) = 0 Reorder the terms: (14xz + 14xz + 4x2 + 49z2) = 0 Combine like terms: 14xz + 14xz = 28xz (28xz + 4x2 + 49z2) = 0 Solving 28xz + 4x2 + 49z2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + 7z)(2x + 7z) = 0Subproblem 1
Set the factor '(2x + 7z)' equal to zero and attempt to solve: Simplifying 2x + 7z = 0 Solving 2x + 7z = 0 Move all terms containing x to the left, all other terms to the right. Add '-7z' to each side of the equation. 2x + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 2x + 0 = 0 + -7z 2x = 0 + -7z Remove the zero: 2x = -7z Divide each side by '2'. x = -3.5z Simplifying x = -3.5zSubproblem 2
Set the factor '(2x + 7z)' equal to zero and attempt to solve: Simplifying 2x + 7z = 0 Solving 2x + 7z = 0 Move all terms containing x to the left, all other terms to the right. Add '-7z' to each side of the equation. 2x + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 2x + 0 = 0 + -7z 2x = 0 + -7z Remove the zero: 2x = -7z Divide each side by '2'. x = -3.5z Simplifying x = -3.5zSolution
x = {-3.5z, -3.5z}
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