4x^2+5x=21

Simple and best practice solution for 4x^2+5x=21 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 4x^2+5x=21 equation:


Simplifying
4x2 + 5x = 21

Reorder the terms:
5x + 4x2 = 21

Solving
5x + 4x2 = 21

Solving for variable 'x'.

Reorder the terms:
-21 + 5x + 4x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + 5x + 4x2 = 0

Factor a trinomial.
(-3 + -1x)(7 + -4x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75

Solution

x = {-3, 1.75}

See similar equations:

| 2x^2+6x-27=0 | | 4/8x(-5)x-1/7 | | 3u+6v+16u+17v= | | 3y-(-5)=11 | | Y=3x+-5whenxis-1equation | | 9(x+7)-54= | | Y=3x+-5whenxis-1 | | b(b+17)=o | | -35x=-49 | | 5y(3y-8)+32= | | p+q-p-q= | | 9x-19=4x+2 | | 12(X+1)=8(2X-6) | | (4X-2)(6X+3)=0 | | 3x-x+3-2= | | 4z(z^2-z^2-2)=0 | | a=50n*zxcvbnm | | -2=50 | | 5x-16=-7x-12 | | 3(n+5)=15 | | moth(dick)=500*2 | | 4p-5p= | | mothdick=1 | | (y+7)x(y+8)= | | 4m+6=1 | | MOTH+KIDS=x | | 6x-6x-8=-5 | | 1.732=x/(2-x) | | 15p=40 | | 5(2-x)=2(2x-13) | | 1.732=x/2.00-x | | 5x+13+4x=23 |

Equations solver categories