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Simplifying 52x2 + -358x + 147 = 3x2 + 6x Reorder the terms: 147 + -358x + 52x2 = 3x2 + 6x Reorder the terms: 147 + -358x + 52x2 = 6x + 3x2 Solving 147 + -358x + 52x2 = 6x + 3x2 Solving for variable 'x'. Reorder the terms: 147 + -358x + -6x + 52x2 + -3x2 = 6x + 3x2 + -6x + -3x2 Combine like terms: -358x + -6x = -364x 147 + -364x + 52x2 + -3x2 = 6x + 3x2 + -6x + -3x2 Combine like terms: 52x2 + -3x2 = 49x2 147 + -364x + 49x2 = 6x + 3x2 + -6x + -3x2 Reorder the terms: 147 + -364x + 49x2 = 6x + -6x + 3x2 + -3x2 Combine like terms: 6x + -6x = 0 147 + -364x + 49x2 = 0 + 3x2 + -3x2 147 + -364x + 49x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 147 + -364x + 49x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(21 + -52x + 7x2) = 0 Factor a trinomial. 7((3 + -7x)(7 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0.4285714286, 7}
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