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Simplifying 49x2 + 14x + -840 = 0 Reorder the terms: -840 + 14x + 49x2 = 0 Solving -840 + 14x + 49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(-120 + 2x + 7x2) = 0 Factor a trinomial. 7((-30 + -7x)(4 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-30 + -7x)' equal to zero and attempt to solve: Simplifying -30 + -7x = 0 Solving -30 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -7x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = 0 + 30 -7x = 0 + 30 Combine like terms: 0 + 30 = 30 -7x = 30 Divide each side by '-7'. x = -4.285714286 Simplifying x = -4.285714286Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-4.285714286, 4}
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