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Simplifying 4x2 + 6x + -18 = 10 Reorder the terms: -18 + 6x + 4x2 = 10 Solving -18 + 6x + 4x2 = 10 Solving for variable 'x'. Reorder the terms: -18 + -10 + 6x + 4x2 = 10 + -10 Combine like terms: -18 + -10 = -28 -28 + 6x + 4x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -28 + 6x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + 3x + 2x2) = 0 Factor a trinomial. 2((-7 + -2x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3.5, 2}
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