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Simplifying 49x + -36x2 + -10 = 0 Reorder the terms: -10 + 49x + -36x2 = 0 Solving -10 + 49x + -36x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + 9x)(1 + -4x) = 0Subproblem 1
Set the factor '(-10 + 9x)' equal to zero and attempt to solve: Simplifying -10 + 9x = 0 Solving -10 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 0 + 10 9x = 0 + 10 Combine like terms: 0 + 10 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {1.111111111, 0.25}
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