4x^2-11x+5=-3x+2

Simple and best practice solution for 4x^2-11x+5=-3x+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 4x^2-11x+5=-3x+2 equation: 


Simplifying
4x2 + -11x + 5 = -3x + 2

Reorder the terms:
5 + -11x + 4x2 = -3x + 2

Reorder the terms:
5 + -11x + 4x2 = 2 + -3x

Solving
5 + -11x + 4x2 = 2 + -3x

Solving for variable 'x'.

Reorder the terms:
5 + -2 + -11x + 3x + 4x2 = 2 + -3x + -2 + 3x

Combine like terms: 5 + -2 = 3
3 + -11x + 3x + 4x2 = 2 + -3x + -2 + 3x

Combine like terms: -11x + 3x = -8x
3 + -8x + 4x2 = 2 + -3x + -2 + 3x

Reorder the terms:
3 + -8x + 4x2 = 2 + -2 + -3x + 3x

Combine like terms: 2 + -2 = 0
3 + -8x + 4x2 = 0 + -3x + 3x
3 + -8x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
3 + -8x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(3 + -2x) = 0


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.5, 1.5}

See similar equations:

| (2x+5)+(3x-10)=70 | | 9g-(10+4g)=8g+27 | | 3=7(4-2u)-6u | | 6x^2+x-12=0 | | B+3+5b=3(2+b) | | 2(6x-7)=10 | | 8n-(4n+7)=13 | | -.25(x-8)+.5(x+2)=x+3 | | 3a+2(a-1)=7a-4(a+2) | | x^2-8x+12=0 | | 5(2d+8)=7(2d+8) | | x^2-2x+1=4 | | 2=2(4x+1)+2(3x) | | x^2+5x-6=0 | | -5(2x+6)=-3(-4+x) | | 3(x+4-6x)=2x | | -.16(x-18)+.5(x+2)=x+16 | | x^2-5x-14=0 | | x^2+13x+40=0 | | -3+w+5=4(w-1)+w | | 3(5x-10)=15(x-2) | | 4(t-9)=6(t+7) | | 2x+3(x-10)=45 | | 8b+5=3b+21 | | 7y-2(8y+1)=4 | | 15x+24=8(10+3x) | | 3x+4=-(x-12) | | -(2y+1)=8(y+2)-7 | | 6x-8=10x+16 | | -8(w-6)=32 | | 8x+4=3x+7 | | 4(x+7)=-9(x-6) |

Equations solver categories