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Simplifying 64w2 + 80wx + 25x2 = 0 Reorder the terms: 80wx + 64w2 + 25x2 = 0 Solving 80wx + 64w2 + 25x2 = 0 Solving for variable 'w'. Factor a trinomial. (8w + 5x)(8w + 5x) = 0Subproblem 1
Set the factor '(8w + 5x)' equal to zero and attempt to solve: Simplifying 8w + 5x = 0 Solving 8w + 5x = 0 Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 8w + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 8w + 0 = 0 + -5x 8w = 0 + -5x Remove the zero: 8w = -5x Divide each side by '8'. w = -0.625x Simplifying w = -0.625xSubproblem 2
Set the factor '(8w + 5x)' equal to zero and attempt to solve: Simplifying 8w + 5x = 0 Solving 8w + 5x = 0 Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 8w + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 8w + 0 = 0 + -5x 8w = 0 + -5x Remove the zero: 8w = -5x Divide each side by '8'. w = -0.625x Simplifying w = -0.625xSolution
w = {-0.625x, -0.625x}
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