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Simplifying 15x = 48x * x + 576 + -6x Multiply x * x 15x = 48x2 + 576 + -6x Reorder the terms: 15x = 576 + -6x + 48x2 Solving 15x = 576 + -6x + 48x2 Solving for variable 'x'. Reorder the terms: -576 + 15x + 6x + -48x2 = 576 + -6x + 48x2 + -576 + 6x + -48x2 Combine like terms: 15x + 6x = 21x -576 + 21x + -48x2 = 576 + -6x + 48x2 + -576 + 6x + -48x2 Reorder the terms: -576 + 21x + -48x2 = 576 + -576 + -6x + 6x + 48x2 + -48x2 Combine like terms: 576 + -576 = 0 -576 + 21x + -48x2 = 0 + -6x + 6x + 48x2 + -48x2 -576 + 21x + -48x2 = -6x + 6x + 48x2 + -48x2 Combine like terms: -6x + 6x = 0 -576 + 21x + -48x2 = 0 + 48x2 + -48x2 -576 + 21x + -48x2 = 48x2 + -48x2 Combine like terms: 48x2 + -48x2 = 0 -576 + 21x + -48x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-192 + 7x + -16x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-192 + 7x + -16x2)' equal to zero and attempt to solve: Simplifying -192 + 7x + -16x2 = 0 Solving -192 + 7x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 12 + -0.4375x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -0.4375x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -0.4375x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -0.4375x + x2 = 0 + -12 -0.4375x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -0.4375x + x2 = -12 The x term is -0.4375x. Take half its coefficient (-0.21875). Square it (0.0478515625) and add it to both sides. Add '0.0478515625' to each side of the equation. -0.4375x + 0.0478515625 + x2 = -12 + 0.0478515625 Reorder the terms: 0.0478515625 + -0.4375x + x2 = -12 + 0.0478515625 Combine like terms: -12 + 0.0478515625 = -11.9521484375 0.0478515625 + -0.4375x + x2 = -11.9521484375 Factor a perfect square on the left side: (x + -0.21875)(x + -0.21875) = -11.9521484375 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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