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Simplifying 49x3 = 100x Solving 49x3 = 100x Solving for variable 'x'. Reorder the terms: -100x + 49x3 = 100x + -100x Combine like terms: 100x + -100x = 0 -100x + 49x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-100 + 49x2) = 0 Factor a difference between two squares. x((10 + 7x)(-10 + 7x)) = 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 '(10 + 7x)' equal to zero and attempt to solve: Simplifying 10 + 7x = 0 Solving 10 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 0 + -10 7x = 0 + -10 Combine like terms: 0 + -10 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429Subproblem 3
Set the factor '(-10 + 7x)' equal to zero and attempt to solve: Simplifying -10 + 7x = 0 Solving -10 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 0 + 10 7x = 0 + 10 Combine like terms: 0 + 10 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429Solution
x = {0, -1.428571429, 1.428571429}
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