(x-4)(5x+3)=-12(x-4)

Simple and best practice solution for (x-4)(5x+3)=-12(x-4) 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-4)(5x+3)=-12(x-4) equation:


Simplifying
(x + -4)(5x + 3) = -12(x + -4)

Reorder the terms:
(-4 + x)(5x + 3) = -12(x + -4)

Reorder the terms:
(-4 + x)(3 + 5x) = -12(x + -4)

Multiply (-4 + x) * (3 + 5x)
(-4(3 + 5x) + x(3 + 5x)) = -12(x + -4)
((3 * -4 + 5x * -4) + x(3 + 5x)) = -12(x + -4)
((-12 + -20x) + x(3 + 5x)) = -12(x + -4)
(-12 + -20x + (3 * x + 5x * x)) = -12(x + -4)
(-12 + -20x + (3x + 5x2)) = -12(x + -4)

Combine like terms: -20x + 3x = -17x
(-12 + -17x + 5x2) = -12(x + -4)

Reorder the terms:
-12 + -17x + 5x2 = -12(-4 + x)
-12 + -17x + 5x2 = (-4 * -12 + x * -12)
-12 + -17x + 5x2 = (48 + -12x)

Solving
-12 + -17x + 5x2 = 48 + -12x

Solving for variable 'x'.

Reorder the terms:
-12 + -48 + -17x + 12x + 5x2 = 48 + -12x + -48 + 12x

Combine like terms: -12 + -48 = -60
-60 + -17x + 12x + 5x2 = 48 + -12x + -48 + 12x

Combine like terms: -17x + 12x = -5x
-60 + -5x + 5x2 = 48 + -12x + -48 + 12x

Reorder the terms:
-60 + -5x + 5x2 = 48 + -48 + -12x + 12x

Combine like terms: 48 + -48 = 0
-60 + -5x + 5x2 = 0 + -12x + 12x
-60 + -5x + 5x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
-60 + -5x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -1x + x2) = 0

Factor a trinomial.
5((-3 + -1x)(4 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-3, 4}

See similar equations:

| 7(2m+n)-3(m+n)= | | 6-7x=70-21x | | 44-(2x+3)=2(x+8)+x | | p^2+24=-11p | | 2c+20=-30 | | 44-2x+3=2x+8+x | | 3n-16=25 | | 3(z+5)=5z+7 | | 10x^2-19x-28=0 | | x^2+16=24 | | t-30=-30 | | k^3-k^2-14k=16 | | 3x^2+21x=0 | | a^2+11a+24=0 | | 4(x+5)=2x+12 | | 3a-9=20a+9 | | 7x+8-9x=14-16x+14-16 | | (x-2)2=40 | | 2*x*x+5*x-3=0 | | (x+1)(x-3)=(x*2)(x+1) | | (x+6)(x^2-18x+82)=0 | | -8k-21=75 | | 6(x-3)+5(x+4)=15 | | x*3,5=27 | | 9+2x-1=8x+22-4x | | 3(x-3)-4(x-5)=6 | | 6(x-4)=3(x-3) | | 65-3x=6x+23 | | 11-7x=26-14x | | x+4+6x=46 | | 1+2x+7x=82 | | y=3x+36 |

Equations solver categories