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Simplifying -10a2 + -4a + -7 = 0 Reorder the terms: -7 + -4a + -10a2 = 0 Solving -7 + -4a + -10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 4a + 10a2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 4a + 10a2)' equal to zero and attempt to solve: Simplifying 7 + 4a + 10a2 = 0 Solving 7 + 4a + 10a2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + 0.4a + a2 = 0.0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + 0.4a + -0.7 + a2 = 0.0 + -0.7 Reorder the terms: 0.7 + -0.7 + 0.4a + a2 = 0.0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.4a + a2 = 0.0 + -0.7 0.4a + a2 = 0.0 + -0.7 Combine like terms: 0.0 + -0.7 = -0.7 0.4a + a2 = -0.7 The a term is 0.4a. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4a + 0.04 + a2 = -0.7 + 0.04 Reorder the terms: 0.04 + 0.4a + a2 = -0.7 + 0.04 Combine like terms: -0.7 + 0.04 = -0.66 0.04 + 0.4a + a2 = -0.66 Factor a perfect square on the left side: (a + 0.2)(a + 0.2) = -0.66 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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