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Simplifying -230X2 + 230X + -132 = 0 Reorder the terms: -132 + 230X + -230X2 = 0 Solving -132 + 230X + -230X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-66 + 115X + -115X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-66 + 115X + -115X2)' equal to zero and attempt to solve: Simplifying -66 + 115X + -115X2 = 0 Solving -66 + 115X + -115X2 = 0 Begin completing the square. Divide all terms by -115 the coefficient of the squared term: Divide each side by '-115'. 0.5739130435 + -1X + X2 = 0 Move the constant term to the right: Add '-0.5739130435' to each side of the equation. 0.5739130435 + -1X + -0.5739130435 + X2 = 0 + -0.5739130435 Reorder the terms: 0.5739130435 + -0.5739130435 + -1X + X2 = 0 + -0.5739130435 Combine like terms: 0.5739130435 + -0.5739130435 = 0.0000000000 0.0000000000 + -1X + X2 = 0 + -0.5739130435 -1X + X2 = 0 + -0.5739130435 Combine like terms: 0 + -0.5739130435 = -0.5739130435 -1X + X2 = -0.5739130435 The X term is -1X. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1X + 0.25 + X2 = -0.5739130435 + 0.25 Reorder the terms: 0.25 + -1X + X2 = -0.5739130435 + 0.25 Combine like terms: -0.5739130435 + 0.25 = -0.3239130435 0.25 + -1X + X2 = -0.3239130435 Factor a perfect square on the left side: (X + -0.5)(X + -0.5) = -0.3239130435 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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