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Simplifying 63x2 + -42x + 60 = 0 Reorder the terms: 60 + -42x + 63x2 = 0 Solving 60 + -42x + 63x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(20 + -14x + 21x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(20 + -14x + 21x2)' equal to zero and attempt to solve: Simplifying 20 + -14x + 21x2 = 0 Solving 20 + -14x + 21x2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.9523809524 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.9523809524' to each side of the equation. 0.9523809524 + -0.6666666667x + -0.9523809524 + x2 = 0 + -0.9523809524 Reorder the terms: 0.9523809524 + -0.9523809524 + -0.6666666667x + x2 = 0 + -0.9523809524 Combine like terms: 0.9523809524 + -0.9523809524 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + -0.9523809524 -0.6666666667x + x2 = 0 + -0.9523809524 Combine like terms: 0 + -0.9523809524 = -0.9523809524 -0.6666666667x + x2 = -0.9523809524 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -0.9523809524 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.9523809524 + 0.1111111112 Combine like terms: -0.9523809524 + 0.1111111112 = -0.8412698412 0.1111111112 + -0.6666666667x + x2 = -0.8412698412 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.8412698412 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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