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Simplifying 17x2 + -46x + 48 = 7x2 Reorder the terms: 48 + -46x + 17x2 = 7x2 Solving 48 + -46x + 17x2 = 7x2 Solving for variable 'x'. Combine like terms: 17x2 + -7x2 = 10x2 48 + -46x + 10x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 48 + -46x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -23x + 5x2) = 0 Factor a trinomial. 2((8 + -5x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1.6, 3}
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