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Simplifying (8x + 7h)(8x + 7h) = 0 Reorder the terms: (7h + 8x)(8x + 7h) = 0 Reorder the terms: (7h + 8x)(7h + 8x) = 0 Multiply (7h + 8x) * (7h + 8x) (7h * (7h + 8x) + 8x * (7h + 8x)) = 0 ((7h * 7h + 8x * 7h) + 8x * (7h + 8x)) = 0 Reorder the terms: ((56hx + 49h2) + 8x * (7h + 8x)) = 0 ((56hx + 49h2) + 8x * (7h + 8x)) = 0 (56hx + 49h2 + (7h * 8x + 8x * 8x)) = 0 (56hx + 49h2 + (56hx + 64x2)) = 0 Reorder the terms: (56hx + 56hx + 49h2 + 64x2) = 0 Combine like terms: 56hx + 56hx = 112hx (112hx + 49h2 + 64x2) = 0 Solving 112hx + 49h2 + 64x2 = 0 Solving for variable 'h'. Factor a trinomial. (7h + 8x)(7h + 8x) = 0Subproblem 1
Set the factor '(7h + 8x)' equal to zero and attempt to solve: Simplifying 7h + 8x = 0 Solving 7h + 8x = 0 Move all terms containing h to the left, all other terms to the right. Add '-8x' to each side of the equation. 7h + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 7h + 0 = 0 + -8x 7h = 0 + -8x Remove the zero: 7h = -8x Divide each side by '7'. h = -1.142857143x Simplifying h = -1.142857143xSubproblem 2
Set the factor '(7h + 8x)' equal to zero and attempt to solve: Simplifying 7h + 8x = 0 Solving 7h + 8x = 0 Move all terms containing h to the left, all other terms to the right. Add '-8x' to each side of the equation. 7h + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 7h + 0 = 0 + -8x 7h = 0 + -8x Remove the zero: 7h = -8x Divide each side by '7'. h = -1.142857143x Simplifying h = -1.142857143xSolution
h = {-1.142857143x, -1.142857143x}
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