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Simplifying (4x)(4x) + -54x + 50 = 0 Remove parenthesis around (4x) 4x(4x) + -54x + 50 = 0 Remove parenthesis around (4x) 4x * 4x + -54x + 50 = 0 Reorder the terms for easier multiplication: 4 * 4x * x + -54x + 50 = 0 Multiply 4 * 4 16x * x + -54x + 50 = 0 Multiply x * x 16x2 + -54x + 50 = 0 Reorder the terms: 50 + -54x + 16x2 = 0 Solving 50 + -54x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + -27x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + -27x + 8x2)' equal to zero and attempt to solve: Simplifying 25 + -27x + 8x2 = 0 Solving 25 + -27x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 3.125 + -3.375x + x2 = 0 Move the constant term to the right: Add '-3.125' to each side of the equation. 3.125 + -3.375x + -3.125 + x2 = 0 + -3.125 Reorder the terms: 3.125 + -3.125 + -3.375x + x2 = 0 + -3.125 Combine like terms: 3.125 + -3.125 = 0.000 0.000 + -3.375x + x2 = 0 + -3.125 -3.375x + x2 = 0 + -3.125 Combine like terms: 0 + -3.125 = -3.125 -3.375x + x2 = -3.125 The x term is -3.375x. Take half its coefficient (-1.6875). Square it (2.84765625) and add it to both sides. Add '2.84765625' to each side of the equation. -3.375x + 2.84765625 + x2 = -3.125 + 2.84765625 Reorder the terms: 2.84765625 + -3.375x + x2 = -3.125 + 2.84765625 Combine like terms: -3.125 + 2.84765625 = -0.27734375 2.84765625 + -3.375x + x2 = -0.27734375 Factor a perfect square on the left side: (x + -1.6875)(x + -1.6875) = -0.27734375 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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