2x(9-5x)=-5x(2-3x)

Simple and best practice solution for 2x(9-5x)=-5x(2-3x) 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 2x(9-5x)=-5x(2-3x) equation: 


Simplifying
2x(9 + -5x) = -5x(2 + -3x)
(9 * 2x + -5x * 2x) = -5x(2 + -3x)
(18x + -10x2) = -5x(2 + -3x)
18x + -10x2 = (2 * -5x + -3x * -5x)
18x + -10x2 = (-10x + 15x2)

Solving
18x + -10x2 = -10x + 15x2

Solving for variable 'x'.

Reorder the terms:
18x + 10x + -10x2 + -15x2 = -10x + 15x2 + 10x + -15x2

Combine like terms: 18x + 10x = 28x
28x + -10x2 + -15x2 = -10x + 15x2 + 10x + -15x2

Combine like terms: -10x2 + -15x2 = -25x2
28x + -25x2 = -10x + 15x2 + 10x + -15x2

Reorder the terms:
28x + -25x2 = -10x + 10x + 15x2 + -15x2

Combine like terms: -10x + 10x = 0
28x + -25x2 = 0 + 15x2 + -15x2
28x + -25x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
28x + -25x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(28 + -25x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(28 + -25x)' equal to zero and attempt to solve:

Simplifying
28 + -25x = 0

Solving
28 + -25x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -25x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -25x = 0 + -28
-25x = 0 + -28

Combine like terms: 0 + -28 = -28
-25x = -28

Divide each side by '-25'.
x = 1.12

Simplifying
x = 1.12
Solution
x = {0, 1.12}

See similar equations:

| -49x^2=56 | | 1/5(x-8)x-16 | | 0.8x^2-4x-600=0 | | 6x^2-3x=2x+1 | | 6x+14=-14-10x | | 15x+8+2x+2=180 | | 6r=42 | | 5x-3=-2x-24 | | 0=8-9x^2+13x | | (-8.6)(0.04)= | | 12=4x+16 | | 7(2p+4)= | | (k+3)-(5k-3)=(3k-11)-(k+3) | | -5x+2x-3=17 | | 4x^2+x-1.5=0 | | 2a+2c=180 | | 7x^2-3x+8=9x^2+15 | | 180=4x+(2x-10)+(x+12) | | (k+3)-(5k-3)=(5k-3)-(3k-11) | | 4X^2+27X-45=0 | | (k+3)-(5k-3)=(3k-11)-(5k-3) | | 7x^2-2x-21=0 | | d/9=12 | | 9+10=0 | | 3+4=94 | | y=(1-x)(5-3x) | | 15/8 | | (3x^2y-y^3)dx+(x^3-3y^2x)dy=0 | | y+2y-3y=0 | | =-4b(-3b-5)-5(-2b-3) | | (5*n)+14=(9*n)14 | | -1.5x^2+38x-160=0 |

Equations solver categories