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Simplifying 292x2 + -312x + 256 = 0 Reorder the terms: 256 + -312x + 292x2 = 0 Solving 256 + -312x + 292x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(64 + -78x + 73x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(64 + -78x + 73x2)' equal to zero and attempt to solve: Simplifying 64 + -78x + 73x2 = 0 Solving 64 + -78x + 73x2 = 0 Begin completing the square. Divide all terms by 73 the coefficient of the squared term: Divide each side by '73'. 0.8767123288 + -1.068493151x + x2 = 0 Move the constant term to the right: Add '-0.8767123288' to each side of the equation. 0.8767123288 + -1.068493151x + -0.8767123288 + x2 = 0 + -0.8767123288 Reorder the terms: 0.8767123288 + -0.8767123288 + -1.068493151x + x2 = 0 + -0.8767123288 Combine like terms: 0.8767123288 + -0.8767123288 = 0.0000000000 0.0000000000 + -1.068493151x + x2 = 0 + -0.8767123288 -1.068493151x + x2 = 0 + -0.8767123288 Combine like terms: 0 + -0.8767123288 = -0.8767123288 -1.068493151x + x2 = -0.8767123288 The x term is -1.068493151x. Take half its coefficient (-0.5342465755). Square it (0.2854194034) and add it to both sides. Add '0.2854194034' to each side of the equation. -1.068493151x + 0.2854194034 + x2 = -0.8767123288 + 0.2854194034 Reorder the terms: 0.2854194034 + -1.068493151x + x2 = -0.8767123288 + 0.2854194034 Combine like terms: -0.8767123288 + 0.2854194034 = -0.5912929254 0.2854194034 + -1.068493151x + x2 = -0.5912929254 Factor a perfect square on the left side: (x + -0.5342465755)(x + -0.5342465755) = -0.5912929254 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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