(x+3)(x-4)=4(2x-5)

Simple and best practice solution for (x+3)(x-4)=4(2x-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+3)(x-4)=4(2x-5) equation: 


Simplifying
(x + 3)(x + -4) = 4(2x + -5)

Reorder the terms:
(3 + x)(x + -4) = 4(2x + -5)

Reorder the terms:
(3 + x)(-4 + x) = 4(2x + -5)

Multiply (3 + x) * (-4 + x)
(3(-4 + x) + x(-4 + x)) = 4(2x + -5)
((-4 * 3 + x * 3) + x(-4 + x)) = 4(2x + -5)
((-12 + 3x) + x(-4 + x)) = 4(2x + -5)
(-12 + 3x + (-4 * x + x * x)) = 4(2x + -5)
(-12 + 3x + (-4x + x2)) = 4(2x + -5)

Combine like terms: 3x + -4x = -1x
(-12 + -1x + x2) = 4(2x + -5)

Reorder the terms:
-12 + -1x + x2 = 4(-5 + 2x)
-12 + -1x + x2 = (-5 * 4 + 2x * 4)
-12 + -1x + x2 = (-20 + 8x)

Solving
-12 + -1x + x2 = -20 + 8x

Solving for variable 'x'.

Reorder the terms:
-12 + 20 + -1x + -8x + x2 = -20 + 8x + 20 + -8x

Combine like terms: -12 + 20 = 8
8 + -1x + -8x + x2 = -20 + 8x + 20 + -8x

Combine like terms: -1x + -8x = -9x
8 + -9x + x2 = -20 + 8x + 20 + -8x

Reorder the terms:
8 + -9x + x2 = -20 + 20 + 8x + -8x

Combine like terms: -20 + 20 = 0
8 + -9x + x2 = 0 + 8x + -8x
8 + -9x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -9x + x2 = 0

Factor a trinomial.
(1 + -1x)(8 + -1x) = 0


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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {1, 8}

See similar equations:

| (2x+1)(x-3) | | 11n^2-9n=1 | | 21=6x+4[4-x] | | h^2=9/49 | | t^3-2t^2-3t0 | | y^2+5y+3=0 | | 0.8X^3+12x^2+60x+50=0 | | 0,8X^3+12x^2+60x+50=0 | | y^2+10y+25=0 | | -4(x+3)=40(0.06) | | 5x^2-3=14x | | 3(2x^2-3)=25x | | 6(x-7)+21=3(x-6) | | 5x-2y+10=0 | | 9x^2-4x=5 | | -6x+4=-4(2x+2) | | -6+4=-4(2x+2) | | 9+11a=5a+27 | | (x-3)(x+2)=14 | | .2(x-8)=2.6 | | p^2+11p-12=0 | | 3x(x-1)=x^2+20 | | 7(x+10)+x=4(x+3)+7 | | a+98=-2 | | x^2-26=5x-2 | | 25-(x+9)=7x-8 | | x(x-1)=x+15 | | -2(x+6)+3=3(x+4)+2 | | 8(y+2)=4(2x+1) | | -0.848=.2(6.5n-2) | | 72-4x+41x=22 | | 3(5-x)=2(2x+5) |

Equations solver categories