24x^2+144x+28=4x^2

Simple and best practice solution for 24x^2+144x+28=4x^2 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 24x^2+144x+28=4x^2 equation:


Simplifying
24x2 + 144x + 28 = 4x2

Reorder the terms:
28 + 144x + 24x2 = 4x2

Solving
28 + 144x + 24x2 = 4x2

Solving for variable 'x'.

Combine like terms: 24x2 + -4x2 = 20x2
28 + 144x + 20x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
28 + 144x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 36x + 5x2) = 0

Factor a trinomial.
4((7 + x)(1 + 5x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Solution

x = {-7, -0.2}

See similar equations:

| -2(-3k+2)+-(5k+-6)+-3k+-5= | | 4.3x-7.9x=-18 | | 8x-3(x+9)=4x+12 | | 6x^2-19x+27=3+4x^2 | | -2(-3k+2)+-1(5k+-6)+-3k+-5= | | 26-26x=-3x^2-3x-4 | | 100+8x=250+70x | | 2(-3k+2)+-1(5k+-6)+-3k+-5= | | -7=x+19 | | 24=3a-27 | | -2(3k+2)-(5k-6)-3k-5= | | 4p-6=-8 | | -12=4-2k-3k | | x^2-25x+25=-5x-2x^2 | | 3(2z+2)-7=29 | | 2+2=4*1 | | 39=-3(23-z)+3(z-2) | | -2x^2+x=-6x+20-5x^2 | | -3(6-2x)+4x=-(2x-6) | | 54=8y | | 43x^2+34h=0 | | 360+4x=16x | | 4(2n-5)=n+6 | | -7p+7+8p=11 | | 6y+4=39 | | 12*8= | | -3(2r-3)+2(5r+3)= | | -7p+8p=11 | | -2(3-4z)+7z=12z-(z+2) | | 3(2m+5)=-45 | | 0.25n=5+1 | | 1.7+x=7.4 |

Equations solver categories