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Simplifying 10x3 = 7x Solving 10x3 = 7x Solving for variable 'x'. Reorder the terms: -7x + 10x3 = 7x + -7x Combine like terms: 7x + -7x = 0 -7x + 10x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 10x2) = 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 '(-7 + 10x2)' equal to zero and attempt to solve: Simplifying -7 + 10x2 = 0 Solving -7 + 10x2 = 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 + 10x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 10x2 = 0 + 7 10x2 = 0 + 7 Combine like terms: 0 + 7 = 7 10x2 = 7 Divide each side by '10'. x2 = 0.7 Simplifying x2 = 0.7 Take the square root of each side: x = {-0.836660027, 0.836660027}Solution
x = {0, -0.836660027, 0.836660027}
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