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Simplifying 7x3(9x2 + -8x + 4) = 0 Reorder the terms: 7x3(4 + -8x + 9x2) = 0 (4 * 7x3 + -8x * 7x3 + 9x2 * 7x3) = 0 (28x3 + -56x4 + 63x5) = 0 Solving 28x3 + -56x4 + 63x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x3'. 7x3(4 + -8x + 9x2) = 0 Ignore the factor 7.Subproblem 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 '(4 + -8x + 9x2)' equal to zero and attempt to solve: Simplifying 4 + -8x + 9x2 = 0 Solving 4 + -8x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + -0.8888888889x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.8888888889x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.8888888889x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.8888888889x + x2 = 0 + -0.4444444444 -0.8888888889x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.8888888889x + x2 = -0.4444444444 The x term is -0.8888888889x. Take half its coefficient (-0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. -0.8888888889x + 0.1975308642 + x2 = -0.4444444444 + 0.1975308642 Reorder the terms: 0.1975308642 + -0.8888888889x + x2 = -0.4444444444 + 0.1975308642 Combine like terms: -0.4444444444 + 0.1975308642 = -0.2469135802 0.1975308642 + -0.8888888889x + x2 = -0.2469135802 Factor a perfect square on the left side: (x + -0.4444444445)(x + -0.4444444445) = -0.2469135802 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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