4x(-5+x)=10-2x

Simple and best practice solution for 4x(-5+x)=10-2x 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 4x(-5+x)=10-2x equation:


Simplifying
4x(-5 + x) = 10 + -2x
(-5 * 4x + x * 4x) = 10 + -2x
(-20x + 4x2) = 10 + -2x

Solving
-20x + 4x2 = 10 + -2x

Solving for variable 'x'.

Reorder the terms:
-10 + -20x + 2x + 4x2 = 10 + -2x + -10 + 2x

Combine like terms: -20x + 2x = -18x
-10 + -18x + 4x2 = 10 + -2x + -10 + 2x

Reorder the terms:
-10 + -18x + 4x2 = 10 + -10 + -2x + 2x

Combine like terms: 10 + -10 = 0
-10 + -18x + 4x2 = 0 + -2x + 2x
-10 + -18x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + -18x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -9x + 2x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-0.5, 5}

See similar equations:

| 0.2x-1.4=1.1x+3.2 | | 1.4(z-1)=0.4(z+0.5) | | x+(x*.1)=45200 | | 5x^2+42=62 | | x(x*.1)=45200 | | 8f-(f+5)=3f+11 | | 5x+6=-29-2x | | -1.2(y-3)=-0.7(y-1) | | 2y+11=5y-7 | | X^2-11=38 | | 8[2+7(8+6)]= | | 8-2y+2y=8 | | -2(x+3)+3=3(x+3)+6 | | 10+7x=16+x | | -5x+6=5x-4 | | -2(4v+4)=-8v+7 | | -3(-5-5)=15w-20 | | 0.1x-0.1(5-x)=0.8 | | 4+10x=13+x | | 3(6y-7)-14=y-2(5y+4) | | -5d+3=-2d-27 | | 4x-6=2x+22 | | -3x-8(19-15x)=20 | | 6x-4(3-x)=12 | | 1-5a^2+2a+4a= | | 2.50+x+x+x+x=14.30 | | 4(2y+5)=44 | | 16(x-7)=-8-8 | | x^2-9x^2+20=0 | | 18x=42 | | 0=ln(x+2)+ln(x-2) | | .0=11.1-n |

Equations solver categories