Solve (2x^2 - 4x - 2026)24(x^2 - 4x 1017)2

Question

Simplify the expression

Solution

96 x^{4} - 390720 x^{3} + 683808 x^{2} + 395604864 x

Evaluate

(2 x^{2} - 4 x - 2026) \times 24 (x^{2} - 4 x \times 1017) \times 2

Multiply the terms

(2 x^{2} - 4 x - 2026) \times 24 (x^{2} - 4068 x) \times 2

Multiply the terms

(2 x^{2} - 4 x - 2026) \times 48 (x^{2} - 4068 x)

Multiply the first two terms

48 (2 x^{2} - 4 x - 2026) (x^{2} - 4068 x)

Multiply the terms

More Steps

(96 x^{2} - 192 x - 97248) (x^{2} - 4068 x)

Apply the distributive property

96 x^{2} \times x^{2} - 96 x^{2} \times 4068 x - 192 x \times x^{2} - (- 192 x \times 4068 x) - 97248 x^{2} - (- 97248 \times 4068 x)

Multiply the terms

More Steps

96 x^{4} - 96 x^{2} \times 4068 x - 192 x \times x^{2} - (- 192 x \times 4068 x) - 97248 x^{2} - (- 97248 \times 4068 x)

Multiply the terms

More Steps

96 x^{4} - 390528 x^{3} - 192 x \times x^{2} - (- 192 x \times 4068 x) - 97248 x^{2} - (- 97248 \times 4068 x)

Multiply the terms

More Steps

96 x^{4} - 390528 x^{3} - 192 x^{3} - (- 192 x \times 4068 x) - 97248 x^{2} - (- 97248 \times 4068 x)

Multiply the terms

More Steps

96 x^{4} - 390528 x^{3} - 192 x^{3} - (- 781056 x^{2}) - 97248 x^{2} - (- 97248 \times 4068 x)

Multiply the numbers

96 x^{4} - 390528 x^{3} - 192 x^{3} - (- 781056 x^{2}) - 97248 x^{2} - (- 395604864 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

96 x^{4} - 390528 x^{3} - 192 x^{3} + 781056 x^{2} - 97248 x^{2} + 395604864 x

Subtract the terms

More Steps

96 x^{4} - 390720 x^{3} + 781056 x^{2} - 97248 x^{2} + 395604864 x

Solution

More Steps

96 x^{4} - 390720 x^{3} + 683808 x^{2} + 395604864 x

Show Solution

Factor the expression

Factor

96 x (x^{2} - 2 x - 1013) (x - 4068)

Show Solution

Find the roots

Find the roots of the algebra expression

x_{1} = 1 - 136, x_{2} = 0, x_{3} = 1 + 136, x_{4} = 4068

Alternative Form

x_{1} \approx - 30.843367, x_{2} = 0, x_{3} \approx 32.843367, x_{4} = 4068

Evaluate

(2 x^{2} - 4 x - 2026) \times 24 (x^{2} - 4 x \times 1017) \times 2

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

(2 x^{2} - 4 x - 2026) \times 24 (x^{2} - 4 x \times 1017) \times 2 = 0

Multiply the terms

(2 x^{2} - 4 x - 2026) \times 24 (x^{2} - 4068 x) \times 2 = 0

Multiply the terms

More Steps

48 (2 x^{2} - 4 x - 2026) (x^{2} - 4068 x) = 0

Elimination the left coefficient

(2 x^{2} - 4 x - 2026) (x^{2} - 4068 x) = 0

Separate the equation into 2 possible cases

2 x^{2} - 4 x - 2026 = 0 x^{2} - 4068 x = 0

Solve the equation

More Steps

x = 1 + 136 x = 1 - 136 x^{2} - 4068 x = 0

Solve the equation

More Steps

x = 1 + 136 x = 1 - 136 x = 0 x = 4068

Solution

x_{1} = 1 - 136, x_{2} = 0, x_{3} = 1 + 136, x_{4} = 4068

Alternative Form

x_{1} \approx - 30.843367, x_{2} = 0, x_{3} \approx 32.843367, x_{4} = 4068

Show Solution

(2x^2 4x 2026)24(x^2 4x 1017)2

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression