Solve 2/3(6x-15) 5x=26

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{25 - 1145}{20}, x_{2} = \frac{25 + 1145}{20}

Alternative Form

x_{1} \approx - 0.441892, x_{2} \approx 2.941892

Evaluate

\frac{2}{3} (6 x - 15) \times 5 x = 26

Multiply

More Steps

\frac{10}{3} x (6 x - 15) = 26

Expand the expression

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20 x^{2} - 50 x = 26

Move the expression to the left side

20 x^{2} - 50 x - 26 = 0

Substitute a= 20,b= - 50 and c= - 26 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{50 \pm ( - 50 ) ^{2} - 4 \times 20 ( - 26 )}{2 \times 20}

Simplify the expression

x = \frac{50 \pm ( - 50 ) ^{2} - 4 \times 20 ( - 26 )}{40}

Simplify the expression

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x = \frac{50 \pm 4580}{40}

Simplify the radical expression

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x = \frac{50 \pm 2 1145}{40}

Separate the equation into 2 possible cases

x = \frac{50 + 2 1145}{40} x = \frac{50 - 2 1145}{40}

Simplify the expression

More Steps

x = \frac{25 + 1145}{20} x = \frac{50 - 2 1145}{40}

Simplify the expression

More Steps

x = \frac{25 + 1145}{20} x = \frac{25 - 1145}{20}

Solution

x_{1} = \frac{25 - 1145}{20}, x_{2} = \frac{25 + 1145}{20}

Alternative Form

x_{1} \approx - 0.441892, x_{2} \approx 2.941892

Show Solution