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Simplifying -3x2 + 30x + -90 = 0 Reorder the terms: -90 + 30x + -3x2 = 0 Solving -90 + 30x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-30 + 10x + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-30 + 10x + -1x2)' equal to zero and attempt to solve: Simplifying -30 + 10x + -1x2 = 0 Solving -30 + 10x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 30 + -10x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -10x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -10x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10x + x2 = 0 + -30 -10x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -10x + x2 = -30 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -30 + 25 Reorder the terms: 25 + -10x + x2 = -30 + 25 Combine like terms: -30 + 25 = -5 25 + -10x + x2 = -5 Factor a perfect square on the left side: (x + -5)(x + -5) = -5 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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