4x^2-29x+31=-5x+4

Simple and best practice solution for 4x^2-29x+31=-5x+4 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^2-29x+31=-5x+4 equation: 


Simplifying
4x2 + -29x + 31 = -5x + 4

Reorder the terms:
31 + -29x + 4x2 = -5x + 4

Reorder the terms:
31 + -29x + 4x2 = 4 + -5x

Solving
31 + -29x + 4x2 = 4 + -5x

Solving for variable 'x'.

Reorder the terms:
31 + -4 + -29x + 5x + 4x2 = 4 + -5x + -4 + 5x

Combine like terms: 31 + -4 = 27
27 + -29x + 5x + 4x2 = 4 + -5x + -4 + 5x

Combine like terms: -29x + 5x = -24x
27 + -24x + 4x2 = 4 + -5x + -4 + 5x

Reorder the terms:
27 + -24x + 4x2 = 4 + -4 + -5x + 5x

Combine like terms: 4 + -4 = 0
27 + -24x + 4x2 = 0 + -5x + 5x
27 + -24x + 4x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
27 + -24x + 4x2 = 0

Factor a trinomial.
(3 + -2x)(9 + -2x) = 0


Subproblem 1
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

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

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {1.5, 4.5}

See similar equations:

| s(x)=-5x^2-40x-78 | | 3x+5y=95 | | 2s^3-12s^2=32s | | 8-6x-2=46+3x-11 | | (x*z*2)+(x*y)=(y*z*x) | | 6x+2-4x=-6 | | 5x-20=2x+11 | | 33=4u-15 | | 24x^2-30x-18=0 | | -2d+8=-2 | | (x*y)+11=(3*y)+x | | 24x^2-30x-18= | | 4y+1=-15 | | 50-w=227 | | 2k^2+4k=10 | | -(2x+1)-(3+4x)+5x=3x-8 | | -1.25+0.15(x)=0 | | (5x-6y)(x+5y)= | | -4+2x=24 | | m^2+m-28=8 | | 3f+9=21 | | p^2-12p+11=0 | | 4+3v=-8 | | 10x^2-4x=14 | | (x)9-15=5 | | 4(w-3)=-34 | | 2y+8=38 | | -2+y=5 | | (4y+8)(4y+8)=64 | | 2y+8=238 | | -4.5x-3=12 | | -.5(d-1.5)=2.5 |

Equations solver categories