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Simplifying 280x2 + 48x + -75 = -3 Reorder the terms: -75 + 48x + 280x2 = -3 Solving -75 + 48x + 280x2 = -3 Solving for variable 'x'. Reorder the terms: -75 + 3 + 48x + 280x2 = -3 + 3 Combine like terms: -75 + 3 = -72 -72 + 48x + 280x2 = -3 + 3 Combine like terms: -3 + 3 = 0 -72 + 48x + 280x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-9 + 6x + 35x2) = 0 Factor a trinomial. 8((-3 + -5x)(3 + -7x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {-0.6, 0.4285714286}
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