5(x^2-49)=x^2-7x

Simple and best practice solution for 5(x^2-49)=x^2-7x 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 5(x^2-49)=x^2-7x equation: 


Simplifying
5(x2 + -49) = x2 + -7x

Reorder the terms:
5(-49 + x2) = x2 + -7x
(-49 * 5 + x2 * 5) = x2 + -7x
(-245 + 5x2) = x2 + -7x

Reorder the terms:
-245 + 5x2 = -7x + x2

Solving
-245 + 5x2 = -7x + x2

Solving for variable 'x'.

Reorder the terms:
-245 + 7x + 5x2 + -1x2 = -7x + x2 + 7x + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
-245 + 7x + 4x2 = -7x + x2 + 7x + -1x2

Reorder the terms:
-245 + 7x + 4x2 = -7x + 7x + x2 + -1x2

Combine like terms: -7x + 7x = 0
-245 + 7x + 4x2 = 0 + x2 + -1x2
-245 + 7x + 4x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-245 + 7x + 4x2 = 0

Factor a trinomial.
(-35 + -4x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-35 + -4x)' equal to zero and attempt to solve:

Simplifying
-35 + -4x = 0

Solving
-35 + -4x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -4x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -4x = 0 + 35
-4x = 0 + 35

Combine like terms: 0 + 35 = 35
-4x = 35

Divide each side by '-4'.
x = -8.75

Simplifying
x = -8.75

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-8.75, 7}

See similar equations:

| 3(2x-5)=-7 | | 0.33x+0.5x+0.66x=12 | | -5(-2x+4)=-109 | | 6/(2x-pi) | | 2/3/12=6/9 | | -(8-6a)-(2+5a)-18=-(7-5a)+(-a)+6 | | 0.33x+0.5x+0.66x=1 | | x(10+x)=288 | | 0.33x+0.5x+0.66x= | | 5/(x^2-7x)=1/(x^2-49) | | 5x=-10y+12 | | k^2-5x+4=0 | | 100w^2-500w=0 | | 10+y+y=10 | | 2/3/y=1/2/3/4 | | -25x+5=-(5x+10) | | 35-6x=59 | | 6a^2+9a-5=0 | | x+120-x=0 | | -48/2*6-4= | | -[2z-(4z+4)]=4+(1z+9) | | 2x-1=5+3x | | -13=5(1+4m)-4m | | 45M^5-44M^2N^3=0 | | e/2.44=0.12/24.4 | | -10+3*2= | | 8=4x-2y | | (4x^3-9x)-(6x^3+8x+3)= | | y=2x^2+8 | | 17=11+n^3 | | 6x^2-61x+63=0 | | 3x-10+x=9 |

Equations solver categories