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Simplifying 25x2 + -30x + 9 = 49x2 Reorder the terms: 9 + -30x + 25x2 = 49x2 Solving 9 + -30x + 25x2 = 49x2 Solving for variable 'x'. Combine like terms: 25x2 + -49x2 = -24x2 9 + -30x + -24x2 = 49x2 + -49x2 Combine like terms: 49x2 + -49x2 = 0 9 + -30x + -24x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -10x + -8x2) = 0 Factor a trinomial. 3((1 + -4x)(3 + 2x)) = 0 Ignore the factor 3.Subproblem 1
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 = 0.25Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0.25, -1.5}
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