0=4u^2-15u-4

Simple and best practice solution for 0=4u^2-15u-4 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 0=4u^2-15u-4 equation:


Simplifying
0 = 4u2 + -15u + -4

Reorder the terms:
0 = -4 + -15u + 4u2

Solving
0 = -4 + -15u + 4u2

Solving for variable 'u'.

Combine like terms: 0 + 4 = 4
4 + 15u + -4u2 = -4 + -15u + 4u2 + 4 + 15u + -4u2

Reorder the terms:
4 + 15u + -4u2 = -4 + 4 + -15u + 15u + 4u2 + -4u2

Combine like terms: -4 + 4 = 0
4 + 15u + -4u2 = 0 + -15u + 15u + 4u2 + -4u2
4 + 15u + -4u2 = -15u + 15u + 4u2 + -4u2

Combine like terms: -15u + 15u = 0
4 + 15u + -4u2 = 0 + 4u2 + -4u2
4 + 15u + -4u2 = 4u2 + -4u2

Combine like terms: 4u2 + -4u2 = 0
4 + 15u + -4u2 = 0

Factor a trinomial.
(4 + -1u)(1 + 4u) = 0

Subproblem 1

Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4

Subproblem 2

Set the factor '(1 + 4u)' equal to zero and attempt to solve: Simplifying 1 + 4u = 0 Solving 1 + 4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4u = 0 + -1 4u = 0 + -1 Combine like terms: 0 + -1 = -1 4u = -1 Divide each side by '4'. u = -0.25 Simplifying u = -0.25

Solution

u = {4, -0.25}

See similar equations:

| 16q-10=14q | | 1/2x-2=2x-1/2 | | 15m+8=10m-7 | | 2p-14=p+16 | | c-3=2c-12 | | -8t=4t+5+2t | | 7.8×9/4 | | 18v=14v+16 | | 1/3x4= | | -10(x)=5-10x | | 6q=10q-16 | | 7=7(5-4) | | 5v-8v-3v-6= | | 18=p-6 | | ax+2=2y | | x+x+x+12+5*x=10*x-2 | | (3x^5/85^4)^-3 | | 9.5/1.25 | | 126-3(6x-6)= | | 4c+6=5c-9 | | 4x^2-76=3x | | 2x2y0(5xy2)2/5(-2xy2) | | 4x^2-7=-27x | | 5f+3= | | 5p=p-6 | | y=177-8x | | 4(4y+9)=50 | | 3a+10=a+38 | | 24x^2+22x+3=0 | | 4(x-1)-3=13 | | 8-18x=2-x | | 2-3(-9)=-7 |

Equations solver categories