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Simplifying (10X * 10X) + -4X + 12 = 0 Reorder the terms for easier multiplication: (10 * 10X * X) + -4X + 12 = 0 Multiply 10 * 10 (100X * X) + -4X + 12 = 0 Multiply X * X (100X2) + -4X + 12 = 0 Reorder the terms: 12 + -4X + (100X2) = 0 Solving 12 + -4X + (100X2) = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -1X + (25X2)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -1X + (25X2))' equal to zero and attempt to solve: Simplifying 3 + -1X + (25X2) = 0 Solving 3 + -1X + (25X2) = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.12 + -0.04X + X2 = 0 Move the constant term to the right: Add '-0.12' to each side of the equation. 0.12 + -0.04X + -0.12 + X2 = 0 + -0.12 Reorder the terms: 0.12 + -0.12 + -0.04X + X2 = 0 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -0.04X + X2 = 0 + -0.12 -0.04X + X2 = 0 + -0.12 Combine like terms: 0 + -0.12 = -0.12 -0.04X + X2 = -0.12 The X term is -0.04X. Take half its coefficient (-0.02). Square it (0.0004) and add it to both sides. Add '0.0004' to each side of the equation. -0.04X + 0.0004 + X2 = -0.12 + 0.0004 Reorder the terms: 0.0004 + -0.04X + X2 = -0.12 + 0.0004 Combine like terms: -0.12 + 0.0004 = -0.1196 0.0004 + -0.04X + X2 = -0.1196 Factor a perfect square on the left side: ((X) + -0.02)((X) + -0.02) = -0.1196 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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