Solve 5(4x - 3) 12x - 6

Question

Simplify the expression

240 x^{2} - 180 x - 6

Show Solution

6 (40 x^{2} - 30 x - 1)

Show Solution

x_{1} = \frac{15 - 265}{40}, x_{2} = \frac{15 + 265}{40}

Alternative Form

x_{1} \approx - 0.031971, x_{2} \approx 0.781971

Evaluate

5 (4 x - 3) \times 12 x - 6

To find the roots of the expression,set the expression equal to 0

5 (4 x - 3) \times 12 x - 6 = 0

Multiply

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60 x (4 x - 3) - 6 = 0

Calculate

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240 x^{2} - 180 x - 6 = 0

Substitute a= 240,b= - 180 and c= - 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{180 \pm ( - 180 ) ^{2} - 4 \times 240 ( - 6 )}{2 \times 240}

Simplify the expression

x = \frac{180 \pm ( - 180 ) ^{2} - 4 \times 240 ( - 6 )}{480}

Simplify the expression

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x = \frac{180 \pm 38160}{480}

Simplify the radical expression

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x = \frac{180 \pm 12 265}{480}

Separate the equation into 2 possible cases

x = \frac{180 + 12 265}{480} x = \frac{180 - 12 265}{480}

Simplify the expression

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x = \frac{15 + 265}{40} x = \frac{180 - 12 265}{480}

Simplify the expression

More Steps

x = \frac{15 + 265}{40} x = \frac{15 - 265}{40}

Solution

x_{1} = \frac{15 - 265}{40}, x_{2} = \frac{15 + 265}{40}

Alternative Form

x_{1} \approx - 0.031971, x_{2} \approx 0.781971

Show Solution