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Simplifying 4h(3 + -4x) = 2(5 + -6x) (3 * 4h + -4x * 4h) = 2(5 + -6x) (12h + -16hx) = 2(5 + -6x) 12h + -16hx = (5 * 2 + -6x * 2) 12h + -16hx = (10 + -12x) Solving 12h + -16hx = 10 + -12x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Reorder the terms: -10 + 12h + -16hx + 12x = 10 + -12x + -10 + 12x Reorder the terms: -10 + 12h + -16hx + 12x = 10 + -10 + -12x + 12x Combine like terms: 10 + -10 = 0 -10 + 12h + -16hx + 12x = 0 + -12x + 12x -10 + 12h + -16hx + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 12h + -16hx + 12x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 6h + -8hx + 6x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 6h + -8hx + 6x)' equal to zero and attempt to solve: Simplifying -5 + 6h + -8hx + 6x = 0 Solving -5 + 6h + -8hx + 6x = 0 Move all terms containing h to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 6h + -8hx + 5 + 6x = 0 + 5 Reorder the terms: -5 + 5 + 6h + -8hx + 6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6h + -8hx + 6x = 0 + 5 6h + -8hx + 6x = 0 + 5 Combine like terms: 0 + 5 = 5 6h + -8hx + 6x = 5 Add '-6x' to each side of the equation. 6h + -8hx + 6x + -6x = 5 + -6x Combine like terms: 6x + -6x = 0 6h + -8hx + 0 = 5 + -6x 6h + -8hx = 5 + -6x 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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