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Simplifying 8x2 = 22x2 + -15x Reorder the terms: 8x2 = -15x + 22x2 Solving 8x2 = -15x + 22x2 Solving for variable 'x'. Reorder the terms: 15x + 8x2 + -22x2 = -15x + 22x2 + 15x + -22x2 Combine like terms: 8x2 + -22x2 = -14x2 15x + -14x2 = -15x + 22x2 + 15x + -22x2 Reorder the terms: 15x + -14x2 = -15x + 15x + 22x2 + -22x2 Combine like terms: -15x + 15x = 0 15x + -14x2 = 0 + 22x2 + -22x2 15x + -14x2 = 22x2 + -22x2 Combine like terms: 22x2 + -22x2 = 0 15x + -14x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(15 + -14x) = 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 '(15 + -14x)' equal to zero and attempt to solve: Simplifying 15 + -14x = 0 Solving 15 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -14x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = 0 + -15 -14x = 0 + -15 Combine like terms: 0 + -15 = -15 -14x = -15 Divide each side by '-14'. x = 1.071428571 Simplifying x = 1.071428571Solution
x = {0, 1.071428571}
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