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Simplifying 36x2 + 28x + 64 = 0 Reorder the terms: 64 + 28x + 36x2 = 0 Solving 64 + 28x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 7x + 9x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(16 + 7x + 9x2)' equal to zero and attempt to solve: Simplifying 16 + 7x + 9x2 = 0 Solving 16 + 7x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + 0.7777777778x + x2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + 0.7777777778x + -1.777777778 + x2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + 0.7777777778x + x2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + 0.7777777778x + x2 = 0 + -1.777777778 0.7777777778x + x2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 0.7777777778x + x2 = -1.777777778 The x term is 0.7777777778x. Take half its coefficient (0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. 0.7777777778x + 0.1512345679 + x2 = -1.777777778 + 0.1512345679 Reorder the terms: 0.1512345679 + 0.7777777778x + x2 = -1.777777778 + 0.1512345679 Combine like terms: -1.777777778 + 0.1512345679 = -1.6265432101 0.1512345679 + 0.7777777778x + x2 = -1.6265432101 Factor a perfect square on the left side: (x + 0.3888888889)(x + 0.3888888889) = -1.6265432101 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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