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Simplifying 5(-4 + -3h) * h = 7 Reorder the terms for easier multiplication: 5h(-4 + -3h) = 7 (-4 * 5h + -3h * 5h) = 7 (-20h + -15h2) = 7 Solving -20h + -15h2 = 7 Solving for variable 'h'. Reorder the terms: -7 + -20h + -15h2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + -20h + -15h2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 20h + 15h2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 20h + 15h2)' equal to zero and attempt to solve: Simplifying 7 + 20h + 15h2 = 0 Solving 7 + 20h + 15h2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.4666666667 + 1.333333333h + h2 = 0 Move the constant term to the right: Add '-0.4666666667' to each side of the equation. 0.4666666667 + 1.333333333h + -0.4666666667 + h2 = 0 + -0.4666666667 Reorder the terms: 0.4666666667 + -0.4666666667 + 1.333333333h + h2 = 0 + -0.4666666667 Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000 0.0000000000 + 1.333333333h + h2 = 0 + -0.4666666667 1.333333333h + h2 = 0 + -0.4666666667 Combine like terms: 0 + -0.4666666667 = -0.4666666667 1.333333333h + h2 = -0.4666666667 The h term is 1.333333333h. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333h + 0.4444444442 + h2 = -0.4666666667 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333h + h2 = -0.4666666667 + 0.4444444442 Combine like terms: -0.4666666667 + 0.4444444442 = -0.0222222225 0.4444444442 + 1.333333333h + h2 = -0.0222222225 Factor a perfect square on the left side: (h + 0.6666666665)(h + 0.6666666665) = -0.0222222225 Can't calculate square root of the right side. 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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