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Simplifying 18x2 + -44x + 30 = 0 Reorder the terms: 30 + -44x + 18x2 = 0 Solving 30 + -44x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -22x + 9x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -22x + 9x2)' equal to zero and attempt to solve: Simplifying 15 + -22x + 9x2 = 0 Solving 15 + -22x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.666666667 + -2.444444444x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -2.444444444x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -2.444444444x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -2.444444444x + x2 = 0 + -1.666666667 -2.444444444x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -2.444444444x + x2 = -1.666666667 The x term is -2.444444444x. Take half its coefficient (-1.222222222). Square it (1.493827160) and add it to both sides. Add '1.493827160' to each side of the equation. -2.444444444x + 1.493827160 + x2 = -1.666666667 + 1.493827160 Reorder the terms: 1.493827160 + -2.444444444x + x2 = -1.666666667 + 1.493827160 Combine like terms: -1.666666667 + 1.493827160 = -0.172839507 1.493827160 + -2.444444444x + x2 = -0.172839507 Factor a perfect square on the left side: (x + -1.222222222)(x + -1.222222222) = -0.172839507 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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