-30x+2=-4x^2+5x+11

Simple and best practice solution for -30x+2=-4x^2+5x+11 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 -30x+2=-4x^2+5x+11 equation: 


Simplifying
-30x + 2 = -4x2 + 5x + 11

Reorder the terms:
2 + -30x = -4x2 + 5x + 11

Reorder the terms:
2 + -30x = 11 + 5x + -4x2

Solving
2 + -30x = 11 + 5x + -4x2

Solving for variable 'x'.

Reorder the terms:
2 + -11 + -30x + -5x + 4x2 = 11 + 5x + -4x2 + -11 + -5x + 4x2

Combine like terms: 2 + -11 = -9
-9 + -30x + -5x + 4x2 = 11 + 5x + -4x2 + -11 + -5x + 4x2

Combine like terms: -30x + -5x = -35x
-9 + -35x + 4x2 = 11 + 5x + -4x2 + -11 + -5x + 4x2

Reorder the terms:
-9 + -35x + 4x2 = 11 + -11 + 5x + -5x + -4x2 + 4x2

Combine like terms: 11 + -11 = 0
-9 + -35x + 4x2 = 0 + 5x + -5x + -4x2 + 4x2
-9 + -35x + 4x2 = 5x + -5x + -4x2 + 4x2

Combine like terms: 5x + -5x = 0
-9 + -35x + 4x2 = 0 + -4x2 + 4x2
-9 + -35x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-9 + -35x + 4x2 = 0

Factor a trinomial.
(-1 + -4x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-0.25, 9}

See similar equations:

| 4(x+3y)+3x=0 | | 2a-4b-a-6b=0 | | x^3-22x^2+73x=-242 | | 2a*-4b-a*-6b=0 | | -15x^2-14=0 | | 3x*(-3)=-9x | | -5x*2y+5y*3x=0 | | x^2+10x-5=-3x^2+2x | | 2*4x-3*3x=0 | | -20=-10r | | 3x^2-20=55 | | G=Q+Qrt | | 6+8x-10-9x=0 | | 12=6r | | -7a-b-3a-5b=0 | | 16x+21=-3x^2 | | 0=2x+cosx | | 4a+b-5a-3b=0 | | 100-25x[-10]= | | 6+5x^2=13x | | (2x-9)/(x-5) | | (3x-3)=(5x+15) | | (5x+15)=(3x-3) | | X-(5x-1/3)=8-(6/5) | | -2x+y=a | | 5x+7x-12=144 | | 7x^2+31x-38=0 | | x^2+x-0.01=0 | | 7x^2+3x+3x+4=-3x+5 | | 2x/-3x=2 | | 4x^2-2x=px^2+2x+3 | | 7x=8x-15 |

Equations solver categories