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Simplifying (-1x4 + 13x5 + 6x3) + (x3 + 5x5 + 7x3) = 0 Reorder the terms: (6x3 + -1x4 + 13x5) + (x3 + 5x5 + 7x3) = 0 Remove parenthesis around (6x3 + -1x4 + 13x5) 6x3 + -1x4 + 13x5 + (x3 + 5x5 + 7x3) = 0 Reorder the terms: 6x3 + -1x4 + 13x5 + (x3 + 7x3 + 5x5) = 0 Combine like terms: x3 + 7x3 = 8x3 6x3 + -1x4 + 13x5 + (8x3 + 5x5) = 0 Remove parenthesis around (8x3 + 5x5) 6x3 + -1x4 + 13x5 + 8x3 + 5x5 = 0 Reorder the terms: 6x3 + 8x3 + -1x4 + 13x5 + 5x5 = 0 Combine like terms: 6x3 + 8x3 = 14x3 14x3 + -1x4 + 13x5 + 5x5 = 0 Combine like terms: 13x5 + 5x5 = 18x5 14x3 + -1x4 + 18x5 = 0 Solving 14x3 + -1x4 + 18x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(14 + -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 '(14 + -1x + 18x2)' equal to zero and attempt to solve: Simplifying 14 + -1x + 18x2 = 0 Solving 14 + -1x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.7777777778 + -0.05555555556x + x2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -0.05555555556x + -0.7777777778 + x2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -0.05555555556x + x2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -0.05555555556x + x2 = 0 + -0.7777777778 -0.05555555556x + x2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -0.05555555556x + x2 = -0.7777777778 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 = -0.7777777778 + 0.0007716049384 Reorder the terms: 0.0007716049384 + -0.05555555556x + x2 = -0.7777777778 + 0.0007716049384 Combine like terms: -0.7777777778 + 0.0007716049384 = -0.7770061728616 0.0007716049384 + -0.05555555556x + x2 = -0.7770061728616 Factor a perfect square on the left side: (x + -0.02777777778)(x + -0.02777777778) = -0.7770061728616 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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