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Simplifying 11x2 + -7x + 5 = 8x2 + 5 Reorder the terms: 5 + -7x + 11x2 = 8x2 + 5 Reorder the terms: 5 + -7x + 11x2 = 5 + 8x2 Add '-5' to each side of the equation. 5 + -7x + -5 + 11x2 = 5 + -5 + 8x2 Reorder the terms: 5 + -5 + -7x + 11x2 = 5 + -5 + 8x2 Combine like terms: 5 + -5 = 0 0 + -7x + 11x2 = 5 + -5 + 8x2 -7x + 11x2 = 5 + -5 + 8x2 Combine like terms: 5 + -5 = 0 -7x + 11x2 = 0 + 8x2 -7x + 11x2 = 8x2 Solving -7x + 11x2 = 8x2 Solving for variable 'x'. Combine like terms: 11x2 + -8x2 = 3x2 -7x + 3x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -7x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 3x) = 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 + 3x)' equal to zero and attempt to solve: Simplifying -7 + 3x = 0 Solving -7 + 3x = 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 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {0, 2.333333333}
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