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Simplifying 0 = -16X2 + 14X + 0 Reorder the terms: 0 = 0 + 14X + -16X2 Remove the zero: 0 = 14X + -16X2 Solving 0 = 14X + -16X2 Solving for variable 'X'. Remove the zero: -14X + 16X2 = 14X + -16X2 + -14X + 16X2 Reorder the terms: -14X + 16X2 = 14X + -14X + -16X2 + 16X2 Combine like terms: 14X + -14X = 0 -14X + 16X2 = 0 + -16X2 + 16X2 -14X + 16X2 = -16X2 + 16X2 Combine like terms: -16X2 + 16X2 = 0 -14X + 16X2 = 0 Factor out the Greatest Common Factor (GCF), '2X'. 2X(-7 + 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 '(-7 + 8X)' equal to zero and attempt to solve: Simplifying -7 + 8X = 0 Solving -7 + 8X = 0 Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8X = 0 + 7 8X = 0 + 7 Combine like terms: 0 + 7 = 7 8X = 7 Divide each side by '8'. X = 0.875 Simplifying X = 0.875Solution
X = {0, 0.875}
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