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Simplifying (12x)(12x) + -14x + 4 = 0 Remove parenthesis around (12x) 12x(12x) + -14x + 4 = 0 Remove parenthesis around (12x) 12x * 12x + -14x + 4 = 0 Reorder the terms for easier multiplication: 12 * 12x * x + -14x + 4 = 0 Multiply 12 * 12 144x * x + -14x + 4 = 0 Multiply x * x 144x2 + -14x + 4 = 0 Reorder the terms: 4 + -14x + 144x2 = 0 Solving 4 + -14x + 144x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -7x + 72x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -7x + 72x2)' equal to zero and attempt to solve: Simplifying 2 + -7x + 72x2 = 0 Solving 2 + -7x + 72x2 = 0 Begin completing the square. Divide all terms by 72 the coefficient of the squared term: Divide each side by '72'. 0.02777777778 + -0.09722222222x + x2 = 0 Move the constant term to the right: Add '-0.02777777778' to each side of the equation. 0.02777777778 + -0.09722222222x + -0.02777777778 + x2 = 0 + -0.02777777778 Reorder the terms: 0.02777777778 + -0.02777777778 + -0.09722222222x + x2 = 0 + -0.02777777778 Combine like terms: 0.02777777778 + -0.02777777778 = 0.00000000000 0.00000000000 + -0.09722222222x + x2 = 0 + -0.02777777778 -0.09722222222x + x2 = 0 + -0.02777777778 Combine like terms: 0 + -0.02777777778 = -0.02777777778 -0.09722222222x + x2 = -0.02777777778 The x term is -0.09722222222x. Take half its coefficient (-0.04861111111). Square it (0.002363040123) and add it to both sides. Add '0.002363040123' to each side of the equation. -0.09722222222x + 0.002363040123 + x2 = -0.02777777778 + 0.002363040123 Reorder the terms: 0.002363040123 + -0.09722222222x + x2 = -0.02777777778 + 0.002363040123 Combine like terms: -0.02777777778 + 0.002363040123 = -0.025414737657 0.002363040123 + -0.09722222222x + x2 = -0.025414737657 Factor a perfect square on the left side: (x + -0.04861111111)(x + -0.04861111111) = -0.025414737657 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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