(2x+1)(x-4)=x+86

Simple and best practice solution for (2x+1)(x-4)=x+86 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+1)(x-4)=x+86 equation:


Simplifying
(2x + 1)(x + -4) = x + 86

Reorder the terms:
(1 + 2x)(x + -4) = x + 86

Reorder the terms:
(1 + 2x)(-4 + x) = x + 86

Multiply (1 + 2x) * (-4 + x)
(1(-4 + x) + 2x * (-4 + x)) = x + 86
((-4 * 1 + x * 1) + 2x * (-4 + x)) = x + 86
((-4 + 1x) + 2x * (-4 + x)) = x + 86
(-4 + 1x + (-4 * 2x + x * 2x)) = x + 86
(-4 + 1x + (-8x + 2x2)) = x + 86

Combine like terms: 1x + -8x = -7x
(-4 + -7x + 2x2) = x + 86

Reorder the terms:
-4 + -7x + 2x2 = 86 + x

Solving
-4 + -7x + 2x2 = 86 + x

Solving for variable 'x'.

Reorder the terms:
-4 + -86 + -7x + -1x + 2x2 = 86 + x + -86 + -1x

Combine like terms: -4 + -86 = -90
-90 + -7x + -1x + 2x2 = 86 + x + -86 + -1x

Combine like terms: -7x + -1x = -8x
-90 + -8x + 2x2 = 86 + x + -86 + -1x

Reorder the terms:
-90 + -8x + 2x2 = 86 + -86 + x + -1x

Combine like terms: 86 + -86 = 0
-90 + -8x + 2x2 = 0 + x + -1x
-90 + -8x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
-90 + -8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -4x + x2) = 0

Factor a trinomial.
2((-5 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-5, 9}

See similar equations:

| 2(2+5x)=34 | | -2(x-3)+9=4x-7 | | 10y-15=-5y+30 | | 4x-3=3x-3 | | -7=y-4 | | 7y-7=-3y+5 | | 4x^2-10x-8=6x+12 | | -3x-35=5y+13 | | 5x+6=4x+8 | | 2(1)-2=8 | | -3(4+3)+4(6x+1)=43 | | 13n-5(7m+6n)-2m= | | 7x+3-x=15 | | x^2+10x+1=-12+2x | | 55(3x-1)=5 | | 6-6y=78 | | 2(3x-4)=4x+10 | | 7-3(x-1)=6+x | | 5c-13=13 | | 78=6-6y | | 5x+3=-3(-x-1) | | 27+5(h-2)=-43 | | -6n+2=-4n-4 | | 4x-9=-21 | | 15y+y= | | 8x-5x=-40-51 | | 2k-5= | | 20+3x-7=11x-11-2x | | 3x+12=3(x+4) | | 18-47=3(x-5)-5 | | 8y-14y+7= | | 63=8w+26-27 |

Equations solver categories