Solve 6-3(x-2) 4(2x 1)-5

Question

Simplify the expression

1 - 24 x^{2} + 48 x

Show Solution

x_{1} = \frac{12 - 5 6}{12}, x_{2} = \frac{12 + 5 6}{12}

Alternative Form

x_{1} \approx - 0.020621, x_{2} \approx 2.020621

Evaluate

6 - 3 (x - 2) \times 4 (2 x \times 1) - 5

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

6 - 3 (x - 2) \times 4 (2 x \times 1) - 5 = 0

Multiply the terms

6 - 3 (x - 2) \times 4 \times 2 x - 5 = 0

Multiply

More Steps

6 - 24 x (x - 2) - 5 = 0

Expand the expression

More Steps

6 - 24 x^{2} + 48 x - 5 = 0

Subtract the numbers

1 - 24 x^{2} + 48 x = 0

Rewrite in standard form

- 24 x^{2} + 48 x + 1 = 0

Multiply both sides

24 x^{2} - 48 x - 1 = 0

Substitute a= 24,b= - 48 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{48 \pm ( - 48 ) ^{2} - 4 \times 24 ( - 1 )}{2 \times 24}

Simplify the expression

x = \frac{48 \pm ( - 48 ) ^{2} - 4 \times 24 ( - 1 )}{48}

Simplify the expression

More Steps

x = \frac{48 \pm 2400}{48}

Simplify the radical expression

More Steps

x = \frac{48 \pm 20 6}{48}

Separate the equation into 2 possible cases

x = \frac{48 + 20 6}{48} x = \frac{48 - 20 6}{48}

Simplify the expression

More Steps

x = \frac{12 + 5 6}{12} x = \frac{48 - 20 6}{48}

Simplify the expression

More Steps

x = \frac{12 + 5 6}{12} x = \frac{12 - 5 6}{12}

Solution

x_{1} = \frac{12 - 5 6}{12}, x_{2} = \frac{12 + 5 6}{12}

Alternative Form

x_{1} \approx - 0.020621, x_{2} \approx 2.020621

Show Solution