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Simplifying 2x(-4h + -13) = 37 + 13h Reorder the terms: 2x(-13 + -4h) = 37 + 13h (-13 * 2x + -4h * 2x) = 37 + 13h Reorder the terms: (-8hx + -26x) = 37 + 13h (-8hx + -26x) = 37 + 13h Solving -8hx + -26x = 37 + 13h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-13h' to each side of the equation. -8hx + -13h + -26x = 37 + 13h + -13h Reorder the terms: -13h + -8hx + -26x = 37 + 13h + -13h Combine like terms: 13h + -13h = 0 -13h + -8hx + -26x = 37 + 0 -13h + -8hx + -26x = 37 Add '26x' to each side of the equation. -13h + -8hx + -26x + 26x = 37 + 26x Combine like terms: -26x + 26x = 0 -13h + -8hx + 0 = 37 + 26x -13h + -8hx = 37 + 26x Reorder the terms: -37 + -13h + -8hx + -26x = 37 + 26x + -37 + -26x Reorder the terms: -37 + -13h + -8hx + -26x = 37 + -37 + 26x + -26x Combine like terms: 37 + -37 = 0 -37 + -13h + -8hx + -26x = 0 + 26x + -26x -37 + -13h + -8hx + -26x = 26x + -26x Combine like terms: 26x + -26x = 0 -37 + -13h + -8hx + -26x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(37 + 13h + 8hx + 26x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(37 + 13h + 8hx + 26x)' equal to zero and attempt to solve: Simplifying 37 + 13h + 8hx + 26x = 0 Solving 37 + 13h + 8hx + 26x = 0 Move all terms containing h to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + 13h + 8hx + -37 + 26x = 0 + -37 Reorder the terms: 37 + -37 + 13h + 8hx + 26x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 13h + 8hx + 26x = 0 + -37 13h + 8hx + 26x = 0 + -37 Combine like terms: 0 + -37 = -37 13h + 8hx + 26x = -37 Add '-26x' to each side of the equation. 13h + 8hx + 26x + -26x = -37 + -26x Combine like terms: 26x + -26x = 0 13h + 8hx + 0 = -37 + -26x 13h + 8hx = -37 + -26x 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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