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Simplifying 4a2 + 8a + 148 = 0 Reorder the terms: 148 + 8a + 4a2 = 0 Solving 148 + 8a + 4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(37 + 2a + a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(37 + 2a + a2)' equal to zero and attempt to solve: Simplifying 37 + 2a + a2 = 0 Solving 37 + 2a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-37' to each side of the equation. 37 + 2a + -37 + a2 = 0 + -37 Reorder the terms: 37 + -37 + 2a + a2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 2a + a2 = 0 + -37 2a + a2 = 0 + -37 Combine like terms: 0 + -37 = -37 2a + a2 = -37 The a term is 2a. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2a + 1 + a2 = -37 + 1 Reorder the terms: 1 + 2a + a2 = -37 + 1 Combine like terms: -37 + 1 = -36 1 + 2a + a2 = -36 Factor a perfect square on the left side: (a + 1)(a + 1) = -36 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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