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Simplifying 2x(9 + -14x) = 36 (9 * 2x + -14x * 2x) = 36 (18x + -28x2) = 36 Solving 18x + -28x2 = 36 Solving for variable 'x'. Reorder the terms: -36 + 18x + -28x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 18x + -28x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 9x + -14x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + 9x + -14x2)' equal to zero and attempt to solve: Simplifying -18 + 9x + -14x2 = 0 Solving -18 + 9x + -14x2 = 0 Begin completing the square. Divide all terms by -14 the coefficient of the squared term: Divide each side by '-14'. 1.285714286 + -0.6428571429x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + -0.6428571429x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + -0.6428571429x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + -0.6428571429x + x2 = 0 + -1.285714286 -0.6428571429x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 -0.6428571429x + x2 = -1.285714286 The x term is -0.6428571429x. Take half its coefficient (-0.3214285715). Square it (0.1033163266) and add it to both sides. Add '0.1033163266' to each side of the equation. -0.6428571429x + 0.1033163266 + x2 = -1.285714286 + 0.1033163266 Reorder the terms: 0.1033163266 + -0.6428571429x + x2 = -1.285714286 + 0.1033163266 Combine like terms: -1.285714286 + 0.1033163266 = -1.1823979594 0.1033163266 + -0.6428571429x + x2 = -1.1823979594 Factor a perfect square on the left side: (x + -0.3214285715)(x + -0.3214285715) = -1.1823979594 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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