(4x-4)(4x+5)=63x

Simple and best practice solution for (4x-4)(4x+5)=63x 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-4)(4x+5)=63x equation: 


Simplifying
(4x + -4)(4x + 5) = 63x

Reorder the terms:
(-4 + 4x)(4x + 5) = 63x

Reorder the terms:
(-4 + 4x)(5 + 4x) = 63x

Multiply (-4 + 4x) * (5 + 4x)
(-4(5 + 4x) + 4x * (5 + 4x)) = 63x
((5 * -4 + 4x * -4) + 4x * (5 + 4x)) = 63x
((-20 + -16x) + 4x * (5 + 4x)) = 63x
(-20 + -16x + (5 * 4x + 4x * 4x)) = 63x
(-20 + -16x + (20x + 16x2)) = 63x

Combine like terms: -16x + 20x = 4x
(-20 + 4x + 16x2) = 63x

Solving
-20 + 4x + 16x2 = 63x

Solving for variable 'x'.

Reorder the terms:
-20 + 4x + -63x + 16x2 = 63x + -63x

Combine like terms: 4x + -63x = -59x
-20 + -59x + 16x2 = 63x + -63x

Combine like terms: 63x + -63x = 0
-20 + -59x + 16x2 = 0

Factor a trinomial.
(-5 + -16x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -16x)' equal to zero and attempt to solve:

Simplifying
-5 + -16x = 0

Solving
-5 + -16x = 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 + -16x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -16x = 0 + 5
-16x = 0 + 5

Combine like terms: 0 + 5 = 5
-16x = 5

Divide each side by '-16'.
x = -0.3125

Simplifying
x = -0.3125

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 = {-0.3125, 4}

See similar equations:

| x-5+45= | | 7d-3=172 | | 2(3x-1)=7x-6 | | -32+2x=70-4x | | 3x+5=9999 | | X^3-(36)=0 | | 8(2y-7)-(8y+2)= | | t-4.5=5.5 | | 23=36x-9 | | 31=47-4b | | x+9+2= | | 4m^2+2mn-12n^2= | | m(m+2)atm=2 | | solvex-3y=-1fory | | x+x-50= | | 2(x-3)+x=3(x-1)-3 | | -2k=-2k-1 | | V=3.144R^2H-AB | | 2a+20=32 | | 5*(x-2)=10 | | 53-3x=35 | | -12=3v+3 | | x+20+10= | | 17=p+4.5 | | 5n+2=3n+40 | | x+p=0 | | 21-v(11+6v)= | | 8a+3y=42 | | x+x+30= | | 7x-6y=-53 | | -5x-7=11-6x | | 4(x+3)+4=4x+2 |

Equations solver categories