7x^2+10x-3=15-5x

Simple and best practice solution for 7x^2+10x-3=15-5x 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 7x^2+10x-3=15-5x equation: 


Simplifying
7x2 + 10x + -3 = 15 + -5x

Reorder the terms:
-3 + 10x + 7x2 = 15 + -5x

Solving
-3 + 10x + 7x2 = 15 + -5x

Solving for variable 'x'.

Reorder the terms:
-3 + -15 + 10x + 5x + 7x2 = 15 + -5x + -15 + 5x

Combine like terms: -3 + -15 = -18
-18 + 10x + 5x + 7x2 = 15 + -5x + -15 + 5x

Combine like terms: 10x + 5x = 15x
-18 + 15x + 7x2 = 15 + -5x + -15 + 5x

Reorder the terms:
-18 + 15x + 7x2 = 15 + -15 + -5x + 5x

Combine like terms: 15 + -15 = 0
-18 + 15x + 7x2 = 0 + -5x + 5x
-18 + 15x + 7x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 15x + 7x2 = 0

Factor a trinomial.
(-3 + -1x)(6 + -7x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-3, 0.8571428571}

See similar equations:

| 5x+17=117 | | (33x-5)(2x-7)= | | 3(6y-7)+5y= | | 10x=2100 | | x^4-6x^3+29x^2-7x+68=0 | | -5/3=1/7-5/2 | | 6y+3=32 | | 13x+4=7x+46 | | 11y+12=3y-13 | | 49c=6125 | | -3/2-4/3x=-1/5 | | 3w/5=18 | | 2(4-q)+6q=4q+9 | | 5x^2-21x+12= | | 2(y+7)-6y=30 | | 5d-7=-252 | | 1/2w-3/7=-4/5 | | 7x-5=121 | | -7/4-2/3w=-9/5 | | -5x^3(3x^3+2)= | | 3(g+5)=45 | | 3x/25 | | 25x^2+200x-400=0 | | -4(w-1)=6w-26 | | -3y^5(2y^3+3)= | | -2/5=-1/2w-5/3 | | 0.2a^2+12a+0.9=0 | | 5(x-6)=4x | | 3=w/5-7 | | -2c^6(5c^3+6)= | | 3(3x-9)=-18 | | -4b^4(5b^2+6)= |

Equations solver categories