4x^2-31x+45=-7x+10

Simple and best practice solution for 4x^2-31x+45=-7x+10 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^2-31x+45=-7x+10 equation: 


Simplifying
4x2 + -31x + 45 = -7x + 10

Reorder the terms:
45 + -31x + 4x2 = -7x + 10

Reorder the terms:
45 + -31x + 4x2 = 10 + -7x

Solving
45 + -31x + 4x2 = 10 + -7x

Solving for variable 'x'.

Reorder the terms:
45 + -10 + -31x + 7x + 4x2 = 10 + -7x + -10 + 7x

Combine like terms: 45 + -10 = 35
35 + -31x + 7x + 4x2 = 10 + -7x + -10 + 7x

Combine like terms: -31x + 7x = -24x
35 + -24x + 4x2 = 10 + -7x + -10 + 7x

Reorder the terms:
35 + -24x + 4x2 = 10 + -10 + -7x + 7x

Combine like terms: 10 + -10 = 0
35 + -24x + 4x2 = 0 + -7x + 7x
35 + -24x + 4x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
35 + -24x + 4x2 = 0

Factor a trinomial.
(5 + -2x)(7 + -2x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {2.5, 3.5}

See similar equations:

| 137-2x=34x+21 | | 5-8x=65-22x | | 12x-26=118 | | 5x+6=-129-10x | | 280-6x=39x+20 | | 4+12k-8k+8=24 | | (x+1)+5(x+1)=0 | | 68-7x=2x+24 | | 3d^2+24d+48= | | -3n+1=-5 | | 12-9x=34-23x | | 0.47x-9.81x=0.0008 | | -3n+1=5 | | -1*3x+7*3x=-5*9+17*6x | | 3x+6=-54-9x | | b-2(b-2)= | | 5x+25=14x-83 | | -3c= | | -18-2x=12-8x | | 7(x-3)+3=-18 | | 9p-5p+30-10=40 | | 10b-4(6+b)= | | 12.5+5x=30 | | 14-9x=41-16x | | 4b^3-500= | | .03x+.05(30000-x)=1100 | | 4x+14=-14-10x | | 2(d+3)+3(d+4)=38 | | 3z-2=-4 | | 18x+18=9x+36 | | 4n=49-3a | | 6x+24=16x-96 |

Equations solver categories