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Simplifying 5X2 + 4X = 7X Reorder the terms: 4X + 5X2 = 7X Solving 4X + 5X2 = 7X Solving for variable 'X'. Reorder the terms: 4X + -7X + 5X2 = 7X + -7X Combine like terms: 4X + -7X = -3X -3X + 5X2 = 7X + -7X Combine like terms: 7X + -7X = 0 -3X + 5X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(-3 + 5X) = 0Subproblem 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 '(-3 + 5X)' equal to zero and attempt to solve: Simplifying -3 + 5X = 0 Solving -3 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5X = 0 + 3 5X = 0 + 3 Combine like terms: 0 + 3 = 3 5X = 3 Divide each side by '5'. X = 0.6 Simplifying X = 0.6Solution
X = {0, 0.6}
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