5x^2-25x=5x-40

Simple and best practice solution for 5x^2-25x=5x-40 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 5x^2-25x=5x-40 equation: 


Simplifying
5x2 + -25x = 5x + -40

Reorder the terms:
-25x + 5x2 = 5x + -40

Reorder the terms:
-25x + 5x2 = -40 + 5x

Solving
-25x + 5x2 = -40 + 5x

Solving for variable 'x'.

Reorder the terms:
40 + -25x + -5x + 5x2 = -40 + 5x + 40 + -5x

Combine like terms: -25x + -5x = -30x
40 + -30x + 5x2 = -40 + 5x + 40 + -5x

Reorder the terms:
40 + -30x + 5x2 = -40 + 40 + 5x + -5x

Combine like terms: -40 + 40 = 0
40 + -30x + 5x2 = 0 + 5x + -5x
40 + -30x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
40 + -30x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(8 + -6x + x2) = 0

Factor a trinomial.
5((2 + -1x)(4 + -1x)) = 0

Ignore the factor 5.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {2, 4}

See similar equations:

| 5r^2=-3R | | Log(4x)+Log(13)=0 | | f^2-100=0 | | 4(5+x)=20+5 | | 40x^3+5x=0 | | 11y+5x=14 | | 4x^2+7x-17=3x^2+12x-3 | | 11/4x3/9 | | (3x+11)=24 | | 8e-2e+4=12 | | 8(3x+11)=24 | | 8(3x+11/2)=24 | | 8(3x+11/2-7)=24 | | -5(x+2)=2c | | 84-2x=16x+22 | | 20-4y=y | | x=1.41-0.75y | | 9-9x=102-30x | | 4(5v-2)=-168 | | ((x^2)+5x+6)/(2x^2-11x+5)=0 | | 6-6h=7h | | -5(1-5x)=145 | | 4/(3x)+3/4=13/(6x)+7/3 | | 7(8n+6)=-126 | | 4/3x+3/4=13/6x+7/3 | | -3+8x=-67 | | y-15=-32 | | 3x-10=x-8 | | y-8=-8 | | f(x)=x^2-8x | | 3/5x+16=58 | | (-1)=2(8)+b |

Equations solver categories