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Simplifying 75x2 = -4x2 + 110x Reorder the terms: 75x2 = 110x + -4x2 Solving 75x2 = 110x + -4x2 Solving for variable 'x'. Reorder the terms: -110x + 75x2 + 4x2 = 110x + -4x2 + -110x + 4x2 Combine like terms: 75x2 + 4x2 = 79x2 -110x + 79x2 = 110x + -4x2 + -110x + 4x2 Reorder the terms: -110x + 79x2 = 110x + -110x + -4x2 + 4x2 Combine like terms: 110x + -110x = 0 -110x + 79x2 = 0 + -4x2 + 4x2 -110x + 79x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -110x + 79x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-110 + 79x) = 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 '(-110 + 79x)' equal to zero and attempt to solve: Simplifying -110 + 79x = 0 Solving -110 + 79x = 0 Move all terms containing x to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + 79x = 0 + 110 Combine like terms: -110 + 110 = 0 0 + 79x = 0 + 110 79x = 0 + 110 Combine like terms: 0 + 110 = 110 79x = 110 Divide each side by '79'. x = 1.392405063 Simplifying x = 1.392405063Solution
x = {0, 1.392405063}
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