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Simplifying 0 = 98x + -16x2 Solving 0 = 98x + -16x2 Solving for variable 'x'. Remove the zero: -98x + 16x2 = 98x + -16x2 + -98x + 16x2 Reorder the terms: -98x + 16x2 = 98x + -98x + -16x2 + 16x2 Combine like terms: 98x + -98x = 0 -98x + 16x2 = 0 + -16x2 + 16x2 -98x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -98x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-49 + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying -49 + 8x = 0 Solving -49 + 8x = 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 + 8x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 8x = 0 + 49 8x = 0 + 49 Combine like terms: 0 + 49 = 49 8x = 49 Divide each side by '8'. x = 6.125 Simplifying x = 6.125Solution
x = {0, 6.125}
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