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Simplifying 245x2 + -63x + -389 = 3 Reorder the terms: -389 + -63x + 245x2 = 3 Solving -389 + -63x + 245x2 = 3 Solving for variable 'x'. Reorder the terms: -389 + -3 + -63x + 245x2 = 3 + -3 Combine like terms: -389 + -3 = -392 -392 + -63x + 245x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -392 + -63x + 245x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-56 + -9x + 35x2) = 0 Factor a trinomial. 7((-8 + -7x)(7 + -5x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 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 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-1.142857143, 1.4}
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