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Simplifying 4x3 + -98x = 0 Reorder the terms: -98x + 4x3 = 0 Solving -98x + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-49 + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-49 + 2x2)' equal to zero and attempt to solve: Simplifying -49 + 2x2 = 0 Solving -49 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 2x2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 2x2 = 0 + 49 2x2 = 0 + 49 Combine like terms: 0 + 49 = 49 2x2 = 49 Divide each side by '2'. x2 = 24.5 Simplifying x2 = 24.5 Take the square root of each side: x = {-4.949747468, 4.949747468}Solution
x = {0, -4.949747468, 4.949747468}
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