7x^2+3x-15=49-45x

Simple and best practice solution for 7x^2+3x-15=49-45x 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+3x-15=49-45x equation: 


Simplifying
7x2 + 3x + -15 = 49 + -45x

Reorder the terms:
-15 + 3x + 7x2 = 49 + -45x

Solving
-15 + 3x + 7x2 = 49 + -45x

Solving for variable 'x'.

Reorder the terms:
-15 + -49 + 3x + 45x + 7x2 = 49 + -45x + -49 + 45x

Combine like terms: -15 + -49 = -64
-64 + 3x + 45x + 7x2 = 49 + -45x + -49 + 45x

Combine like terms: 3x + 45x = 48x
-64 + 48x + 7x2 = 49 + -45x + -49 + 45x

Reorder the terms:
-64 + 48x + 7x2 = 49 + -49 + -45x + 45x

Combine like terms: 49 + -49 = 0
-64 + 48x + 7x2 = 0 + -45x + 45x
-64 + 48x + 7x2 = -45x + 45x

Combine like terms: -45x + 45x = 0
-64 + 48x + 7x2 = 0

Factor a trinomial.
(-8 + -1x)(8 + -7x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-8, 1.142857143}

See similar equations:

| 3*x^2-8=0 | | 2+9=x-8 | | (7x-5)(7x-1)=0 | | 5x^3-10x^2+x-2=0 | | -14x+3y=-4 | | 7x+2x=9 | | 5s^2=45s | | 4x+21=11x-21 | | 3x-9x+x-2x= | | x^2-10x-171=0 | | 6x^2-23x-35=0 | | 3x-6x+9x-8x= | | 5x^2=40x | | 11x+6=9x+21 | | 3x^5-24x^3+36x=0 | | (4a+2)(6a^2-a+2)= | | 11x+6=9x+13 | | 10(8c-1)-14=78c+10 | | 5x^2+8x=69 | | 8-4x=14+2x | | 7(x+3)=56 | | 2x(-2x-3)= | | 8x+5=6x+1 | | 18x^4+3x^2-1=0 | | (3x-4)(4x+3)= | | x^2-31x+8=0 | | -7c+1=-34 | | x^2-12x-20=0 | | 0.23y-0.6=0.13y+3-0.8y | | 4x-5=2y+1 | | (8n+1)(6n-3)= | | -4(t+8)=4 |

Equations solver categories