(x+5)(2x-1)=3(x+5)

Simple and best practice solution for (x+5)(2x-1)=3(x+5) 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 (x+5)(2x-1)=3(x+5) equation:


Simplifying
(x + 5)(2x + -1) = 3(x + 5)

Reorder the terms:
(5 + x)(2x + -1) = 3(x + 5)

Reorder the terms:
(5 + x)(-1 + 2x) = 3(x + 5)

Multiply (5 + x) * (-1 + 2x)
(5(-1 + 2x) + x(-1 + 2x)) = 3(x + 5)
((-1 * 5 + 2x * 5) + x(-1 + 2x)) = 3(x + 5)
((-5 + 10x) + x(-1 + 2x)) = 3(x + 5)
(-5 + 10x + (-1 * x + 2x * x)) = 3(x + 5)
(-5 + 10x + (-1x + 2x2)) = 3(x + 5)

Combine like terms: 10x + -1x = 9x
(-5 + 9x + 2x2) = 3(x + 5)

Reorder the terms:
-5 + 9x + 2x2 = 3(5 + x)
-5 + 9x + 2x2 = (5 * 3 + x * 3)
-5 + 9x + 2x2 = (15 + 3x)

Solving
-5 + 9x + 2x2 = 15 + 3x

Solving for variable 'x'.

Reorder the terms:
-5 + -15 + 9x + -3x + 2x2 = 15 + 3x + -15 + -3x

Combine like terms: -5 + -15 = -20
-20 + 9x + -3x + 2x2 = 15 + 3x + -15 + -3x

Combine like terms: 9x + -3x = 6x
-20 + 6x + 2x2 = 15 + 3x + -15 + -3x

Reorder the terms:
-20 + 6x + 2x2 = 15 + -15 + 3x + -3x

Combine like terms: 15 + -15 = 0
-20 + 6x + 2x2 = 0 + 3x + -3x
-20 + 6x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0

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

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-5, 2}

See similar equations:

| m-(-5)=13 | | 55=7s-8 | | 17+3(2x-1)=7x-18-2x | | 9.0078+0.06= | | 16x+6y=180 | | 4x-12y=180 | | 11x-10y=180 | | w^2-4w+4=2w^2-7w+6 | | 9p-4=-24+5p | | 11x-10=180 | | 6n-18=3+9n | | 140=x+.75x | | 5y^2=-26y-5 | | 4p+9+(7p)+2= | | 4w^2+25=-20w | | 2(3+6x)-3=27 | | 15m+7+10m+33= | | 20x^2-x-30= | | 2y^2+5y=-3 | | 5+3n=-10 | | 8-9x=4x-3 | | 10-5y=20x | | 5+3xn=-10 | | 5m^2+5m=0 | | (5v-4)(5-v)=0 | | 5(z+1)(-1z+9)=0 | | (u-1)(u-7)=0 | | 2(3x-12)=x+13 | | -22=11-6 | | 5x^2-308x-9408=0 | | 2w^6-21w^5+27w^4=0 | | 9x-4=4-11x |

Equations solver categories