4x^2+80x=276

Simple and best practice solution for 4x^2+80x=276 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+80x=276 equation:


Simplifying
4x2 + 80x = 276

Reorder the terms:
80x + 4x2 = 276

Solving
80x + 4x2 = 276

Solving for variable 'x'.

Reorder the terms:
-276 + 80x + 4x2 = 276 + -276

Combine like terms: 276 + -276 = 0
-276 + 80x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-69 + 20x + x2) = 0

Factor a trinomial.
4((-23 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-23 + -1x)' equal to zero and attempt to solve: Simplifying -23 + -1x = 0 Solving -23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = 0 + 23 -1x = 0 + 23 Combine like terms: 0 + 23 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23

Subproblem 2

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

Solution

x = {-23, 3}

See similar equations:

| 63=-5x-2x | | 3x^2-3xy-y^2+2x+2y-10=0 | | -17-4(x+7)=-14x+7(x-6) | | 8x+20x-x=189 | | (1-2i)(2+3i)= | | 6=y/9.6 | | 13-3y=-5(3-2y) | | -2/-3(5p-16)=13q | | 15/16÷3/8 | | 13x+4.1=4x+5 | | 11(5+x)=12(11+x) | | 15a-a+2=12 | | y+2=(x-1) | | 108=k(6)*2 | | (9-8i)(9-8i)= | | 20=k(2)*2 | | (9-8i)squared= | | y=2(-5)*2 | | 2(x-5)=7(2x-7)-5 | | 10x^2+19x-9=0 | | y=2(6)*2 | | (-I)(9-5i)= | | -15z^5v^6+8z^5v^2= | | y=30/5 | | (19+9)9=(x+10)10 | | 4y-24z/3x-21 | | ((18^5)(y^4)(2))^(1/2) | | y=(2+2)*2-3 | | 15/2x7/5 | | y=(1+2)*2-3 | | y=(-1+2)*2-3 | | 4x+1x=25 |

Equations solver categories