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Simplifying 230 + 270x + 100x2 = 0 Solving 230 + 270x + 100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(23 + 27x + 10x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(23 + 27x + 10x2)' equal to zero and attempt to solve: Simplifying 23 + 27x + 10x2 = 0 Solving 23 + 27x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.3 + 2.7x + x2 = 0.0 Move the constant term to the right: Add '-2.3' to each side of the equation. 2.3 + 2.7x + -2.3 + x2 = 0.0 + -2.3 Reorder the terms: 2.3 + -2.3 + 2.7x + x2 = 0.0 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 2.7x + x2 = 0.0 + -2.3 2.7x + x2 = 0.0 + -2.3 Combine like terms: 0.0 + -2.3 = -2.3 2.7x + x2 = -2.3 The x term is 2.7x. Take half its coefficient (1.35). Square it (1.8225) and add it to both sides. Add '1.8225' to each side of the equation. 2.7x + 1.8225 + x2 = -2.3 + 1.8225 Reorder the terms: 1.8225 + 2.7x + x2 = -2.3 + 1.8225 Combine like terms: -2.3 + 1.8225 = -0.4775 1.8225 + 2.7x + x2 = -0.4775 Factor a perfect square on the left side: (x + 1.35)(x + 1.35) = -0.4775 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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