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Simplifying (-1x4 + 13x5 + 6x3) + (6x3 + 5x5 + 7x3) = 0 Reorder the terms: (6x3 + -1x4 + 13x5) + (6x3 + 5x5 + 7x3) = 0 Remove parenthesis around (6x3 + -1x4 + 13x5) 6x3 + -1x4 + 13x5 + (6x3 + 5x5 + 7x3) = 0 Reorder the terms: 6x3 + -1x4 + 13x5 + (6x3 + 7x3 + 5x5) = 0 Combine like terms: 6x3 + 7x3 = 13x3 6x3 + -1x4 + 13x5 + (13x3 + 5x5) = 0 Remove parenthesis around (13x3 + 5x5) 6x3 + -1x4 + 13x5 + 13x3 + 5x5 = 0 Reorder the terms: 6x3 + 13x3 + -1x4 + 13x5 + 5x5 = 0 Combine like terms: 6x3 + 13x3 = 19x3 19x3 + -1x4 + 13x5 + 5x5 = 0 Combine like terms: 13x5 + 5x5 = 18x5 19x3 + -1x4 + 18x5 = 0 Solving 19x3 + -1x4 + 18x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(19 + -1x + 18x2) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(19 + -1x + 18x2)' equal to zero and attempt to solve: Simplifying 19 + -1x + 18x2 = 0 Solving 19 + -1x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.055555556 + -0.05555555556x + x2 = 0 Move the constant term to the right: Add '-1.055555556' to each side of the equation. 1.055555556 + -0.05555555556x + -1.055555556 + x2 = 0 + -1.055555556 Reorder the terms: 1.055555556 + -1.055555556 + -0.05555555556x + x2 = 0 + -1.055555556 Combine like terms: 1.055555556 + -1.055555556 = 0.000000000 0.000000000 + -0.05555555556x + x2 = 0 + -1.055555556 -0.05555555556x + x2 = 0 + -1.055555556 Combine like terms: 0 + -1.055555556 = -1.055555556 -0.05555555556x + x2 = -1.055555556 The x term is -0.05555555556x. Take half its coefficient (-0.02777777778). Square it (0.0007716049384) and add it to both sides. Add '0.0007716049384' to each side of the equation. -0.05555555556x + 0.0007716049384 + x2 = -1.055555556 + 0.0007716049384 Reorder the terms: 0.0007716049384 + -0.05555555556x + x2 = -1.055555556 + 0.0007716049384 Combine like terms: -1.055555556 + 0.0007716049384 = -1.0547839510616 0.0007716049384 + -0.05555555556x + x2 = -1.0547839510616 Factor a perfect square on the left side: (x + -0.02777777778)(x + -0.02777777778) = -1.0547839510616 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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