Solve 3(3-2x) 82x=5 - ScanMath

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Type your math problem... 3(3-2x) 82x=5

Question

Solve the quadratic equation

Solve using the quadratic formula

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Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{369 - 133701}{492}, x_{2} = \frac{369 + 133701}{492}

Alternative Form

x_{1} \approx 0.006806, x_{2} \approx 1.493194

Evaluate

3 (3 - 2 x) \times 82 x = 5

Multiply

More Steps

246 x (3 - 2 x) = 5

Expand the expression

More Steps

738 x - 492 x^{2} = 5

Move the expression to the left side

738 x - 492 x^{2} - 5 = 0

Rewrite in standard form

- 492 x^{2} + 738 x - 5 = 0

Multiply both sides

492 x^{2} - 738 x + 5 = 0

Substitute a= 492,b= - 738 and c= 5 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{738 \pm ( - 738 ) ^{2} - 4 \times 492 \times 5}{2 \times 492}

Simplify the expression

x = \frac{738 \pm ( - 738 ) ^{2} - 4 \times 492 \times 5}{984}

Simplify the expression

More Steps

x = \frac{738 \pm 73 8 ^{2} - 9840}{984}

Simplify the radical expression

More Steps

x = \frac{738 \pm 2 133701}{984}

Separate the equation into 2 possible cases

x = \frac{738 + 2 133701}{984} x = \frac{738 - 2 133701}{984}

Simplify the expression

More Steps

x = \frac{369 + 133701}{492} x = \frac{738 - 2 133701}{984}

Simplify the expression

More Steps

x = \frac{369 + 133701}{492} x = \frac{369 - 133701}{492}

Solution

x_{1} = \frac{369 - 133701}{492}, x_{2} = \frac{369 + 133701}{492}

Alternative Form

x_{1} \approx 0.006806, x_{2} \approx 1.493194

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