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

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


Simplifying
3x2 + 5x + -3 = 2x2 + -7

Reorder the terms:
-3 + 5x + 3x2 = 2x2 + -7

Reorder the terms:
-3 + 5x + 3x2 = -7 + 2x2

Solving
-3 + 5x + 3x2 = -7 + 2x2

Solving for variable 'x'.

Reorder the terms:
-3 + 7 + 5x + 3x2 + -2x2 = -7 + 2x2 + 7 + -2x2

Combine like terms: -3 + 7 = 4
4 + 5x + 3x2 + -2x2 = -7 + 2x2 + 7 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
4 + 5x + 1x2 = -7 + 2x2 + 7 + -2x2

Reorder the terms:
4 + 5x + 1x2 = -7 + 7 + 2x2 + -2x2

Combine like terms: -7 + 7 = 0
4 + 5x + 1x2 = 0 + 2x2 + -2x2
4 + 5x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + 5x + 1x2 = 0

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


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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

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

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

Simplifying
x = -4

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-4, -1}

See similar equations:

| -12-5x=-9-(6x+7) | | (12b-10)(3)=10b-10(2b-6) | | 8x+7=8(x+1) | | 0.6(7x+14)=1.2(x+2) | | 3x-6x+12=-9 | | 3x-6x+2=-9 | | (.24)P=0.6621t+1.407 | | 5a+8+(-2a)=(-7) | | 0.12(6)+0.02x=0.06(18+x) | | 5a+8+(-2)=(-7) | | v=4/3(3.14)(5,832) | | P=0.6621t+1.407 | | X+14=x+7 | | v=4/3(3.14)(9,261) | | 3cos(3x)-2=0 | | v=4/3(3.14)(64) | | 6a+5a=(-11) | | v=4/3(3.14)(343) | | X-x-y=4-x | | 9/2=n | | F(x)=ln(5-3x) | | v=3.14(18.49)(4.3) | | 5(x-4)-(x-7)=-5 | | 3x+9=2x+76 | | v=1/3(3.14)(144)(9) | | 7(3+-1x)+x=5+-2x | | 7(3-x)=5-2x | | 2x+10-5x=12-13x+10x-2 | | 8.7*7= | | 5-2(2x+4)=12 | | 3-2a=-6 | | v=1/3(3.14)(25)(9) |

Equations solver categories