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Simplifying 12m2q + -7mq + 10q = 0 Reorder the terms: -7mq + 12m2q + 10q = 0 Solving -7mq + 12m2q + 10q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-7m + 12m2 + 10) = 0Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing m to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q = 0 + -1q Remove the zero: 0 = -1q Simplifying 0 = -1q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7m + 12m2 + 10)' equal to zero and attempt to solve: Simplifying -7m + 12m2 + 10 = 0 Reorder the terms: 10 + -7m + 12m2 = 0 Solving 10 + -7m + 12m2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.8333333333 + -0.5833333333m + m2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -0.5833333333m + -0.8333333333 + m2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -0.5833333333m + m2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -0.5833333333m + m2 = 0 + -0.8333333333 -0.5833333333m + m2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -0.5833333333m + m2 = -0.8333333333 The m term is -0.5833333333m. Take half its coefficient (-0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. -0.5833333333m + 0.08506944446 + m2 = -0.8333333333 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333m + m2 = -0.8333333333 + 0.08506944446 Combine like terms: -0.8333333333 + 0.08506944446 = -0.74826388884 0.08506944446 + -0.5833333333m + m2 = -0.74826388884 Factor a perfect square on the left side: (m + -0.2916666667)(m + -0.2916666667) = -0.74826388884 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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