(4x+5)(x-4)=8x+10

Simple and best practice solution for (4x+5)(x-4)=8x+10 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-4)=8x+10 equation: 


Simplifying
(4x + 5)(x + -4) = 8x + 10

Reorder the terms:
(5 + 4x)(x + -4) = 8x + 10

Reorder the terms:
(5 + 4x)(-4 + x) = 8x + 10

Multiply (5 + 4x) * (-4 + x)
(5(-4 + x) + 4x * (-4 + x)) = 8x + 10
((-4 * 5 + x * 5) + 4x * (-4 + x)) = 8x + 10
((-20 + 5x) + 4x * (-4 + x)) = 8x + 10
(-20 + 5x + (-4 * 4x + x * 4x)) = 8x + 10
(-20 + 5x + (-16x + 4x2)) = 8x + 10

Combine like terms: 5x + -16x = -11x
(-20 + -11x + 4x2) = 8x + 10

Reorder the terms:
-20 + -11x + 4x2 = 10 + 8x

Solving
-20 + -11x + 4x2 = 10 + 8x

Solving for variable 'x'.

Reorder the terms:
-20 + -10 + -11x + -8x + 4x2 = 10 + 8x + -10 + -8x

Combine like terms: -20 + -10 = -30
-30 + -11x + -8x + 4x2 = 10 + 8x + -10 + -8x

Combine like terms: -11x + -8x = -19x
-30 + -19x + 4x2 = 10 + 8x + -10 + -8x

Reorder the terms:
-30 + -19x + 4x2 = 10 + -10 + 8x + -8x

Combine like terms: 10 + -10 = 0
-30 + -19x + 4x2 = 0 + 8x + -8x
-30 + -19x + 4x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-30 + -19x + 4x2 = 0

Factor a trinomial.
(-5 + -4x)(6 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 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 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 0 + 5
-4x = 0 + 5

Combine like terms: 0 + 5 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-1.25, 6}

See similar equations:

| 13-3r+2+6r-2r-2r-1=3+2*8 | | -7x+7y=-21 | | 8z+15z-3z= | | 6x+3y=-27 | | 6(y+5)=3[2(y-3)+1]+5 | | 8x-7=5+8 | | -4(4b+2)+(17b-6)=0 | | 74.016=1117.72x+21.338x^2 | | x^2=4x+165 | | 3x^4-13x^3-10x^2+x-5=0 | | -3y^2+12=0 | | 3.1q-5.6-5.7q=-3.6q-4.1 | | 3b^2-21b=0 | | -5y+4+4y-6=-1 | | 3x+4=-x-20 | | x^2+cx+49=1 | | -3.4x-1.3=-1.8 | | x^2+cx+49= | | x^2+cx=49 | | 4.5=0.9y | | x+cx=49 | | -6.4x=-31.36 | | r^3-4r^2+5r-2=0 | | z^2+18z+81=0 | | 15c^2-17cd-4d^2= | | 116.26=1516.3x+26.84x^2 | | x+(2x+15)+(2x+15)=180 | | 5[4+(49)]= | | X+.40x=0.10 | | 0.3n=4.2 | | (2x+15)+(2x+15)=180 | | 0.8y-2=6 |

Equations solver categories