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Simplifying -3x5(x3 + 6x) + 7x8 = 0 Reorder the terms: -3x5(6x + x3) + 7x8 = 0 (6x * -3x5 + x3 * -3x5) + 7x8 = 0 (-18x6 + -3x8) + 7x8 = 0 Combine like terms: -3x8 + 7x8 = 4x8 -18x6 + 4x8 = 0 Solving -18x6 + 4x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x6'. 2x6(-9 + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve: Simplifying x6 = 0 Solving x6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6 = 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 '(-9 + 2x2)' equal to zero and attempt to solve: Simplifying -9 + 2x2 = 0 Solving -9 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x2 = 0 + 9 2x2 = 0 + 9 Combine like terms: 0 + 9 = 9 2x2 = 9 Divide each side by '2'. x2 = 4.5 Simplifying x2 = 4.5 Take the square root of each side: x = {-2.121320344, 2.121320344}Solution
x = {-2.121320344, 2.121320344}
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