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Simplifying 4x2 + 6x = 304 Reorder the terms: 6x + 4x2 = 304 Solving 6x + 4x2 = 304 Solving for variable 'x'. Reorder the terms: -304 + 6x + 4x2 = 304 + -304 Combine like terms: 304 + -304 = 0 -304 + 6x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-152 + 3x + 2x2) = 0 Factor a trinomial. 2((-19 + -2x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-19 + -2x)' equal to zero and attempt to solve: Simplifying -19 + -2x = 0 Solving -19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -2x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -2x = 0 + 19 -2x = 0 + 19 Combine like terms: 0 + 19 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-9.5, 8}
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