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Simplifying 15x2 + -3x + 90 = 0 Reorder the terms: 90 + -3x + 15x2 = 0 Solving 90 + -3x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(30 + -1x + 5x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(30 + -1x + 5x2)' equal to zero and attempt to solve: Simplifying 30 + -1x + 5x2 = 0 Solving 30 + -1x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6 + -0.2x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -0.2x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -0.2x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.2x + x2 = 0 + -6 -0.2x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -0.2x + x2 = -6 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -6 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -6 + 0.01 Combine like terms: -6 + 0.01 = -5.99 0.01 + -0.2x + x2 = -5.99 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -5.99 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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