(x+1)(4x-3)=(2x-5)(2x+5)-1

Simple and best practice solution for (x+1)(4x-3)=(2x-5)(2x+5)-1 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+1)(4x-3)=(2x-5)(2x+5)-1 equation: 


Simplifying
(x + 1)(4x + -3) = (2x + -5)(2x + 5) + -1

Reorder the terms:
(1 + x)(4x + -3) = (2x + -5)(2x + 5) + -1

Reorder the terms:
(1 + x)(-3 + 4x) = (2x + -5)(2x + 5) + -1

Multiply (1 + x) * (-3 + 4x)
(1(-3 + 4x) + x(-3 + 4x)) = (2x + -5)(2x + 5) + -1
((-3 * 1 + 4x * 1) + x(-3 + 4x)) = (2x + -5)(2x + 5) + -1
((-3 + 4x) + x(-3 + 4x)) = (2x + -5)(2x + 5) + -1
(-3 + 4x + (-3 * x + 4x * x)) = (2x + -5)(2x + 5) + -1
(-3 + 4x + (-3x + 4x2)) = (2x + -5)(2x + 5) + -1

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

Reorder the terms:
-3 + 1x + 4x2 = (-5 + 2x)(2x + 5) + -1

Reorder the terms:
-3 + 1x + 4x2 = (-5 + 2x)(5 + 2x) + -1

Multiply (-5 + 2x) * (5 + 2x)
-3 + 1x + 4x2 = (-5(5 + 2x) + 2x * (5 + 2x)) + -1
-3 + 1x + 4x2 = ((5 * -5 + 2x * -5) + 2x * (5 + 2x)) + -1
-3 + 1x + 4x2 = ((-25 + -10x) + 2x * (5 + 2x)) + -1
-3 + 1x + 4x2 = (-25 + -10x + (5 * 2x + 2x * 2x)) + -1
-3 + 1x + 4x2 = (-25 + -10x + (10x + 4x2)) + -1

Combine like terms: -10x + 10x = 0
-3 + 1x + 4x2 = (-25 + 0 + 4x2) + -1
-3 + 1x + 4x2 = (-25 + 4x2) + -1

Reorder the terms:
-3 + 1x + 4x2 = -25 + -1 + 4x2

Combine like terms: -25 + -1 = -26
-3 + 1x + 4x2 = -26 + 4x2

Add '-4x2' to each side of the equation.
-3 + 1x + 4x2 + -4x2 = -26 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 1x + 0 = -26 + 4x2 + -4x2
-3 + 1x = -26 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 1x = -26 + 0
-3 + 1x = -26

Solving
-3 + 1x = -26

Solving for variable 'x'.

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 = -26 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -26 + 3
1x = -26 + 3

Combine like terms: -26 + 3 = -23
1x = -23

Divide each side by '1'.
x = -23

Simplifying
x = -23

See similar equations:

| x=9x-290 | | 4x-6+x=14 | | 8t=7t-5 | | 6-8X-3=-22+5X-14 | | 0.3x+0.75x-14=-1 | | 7x-4x^2=-15 | | 4.2k=20.58 | | .098=(1-x)0.13+x*0.065(1-.35) | | 2x+30+4x=7x+10-5x | | -4X-11=2X+13 | | 16x+9y=82 | | 2x+.5+1=1.5+2x | | 20s-15s+9s-12s-2s=16 | | (x+7)*(x-3)=4225 | | 12-17x-5x^2=0 | | 91=4+3x | | 20x^2+22xy-12y^2= | | 6x+3x+2=180 | | -43=2x-57 | | 0.3x-x^2=0 | | 5x+7=3k+10 | | 400=12-2x | | 8(4x+2)=9(4x) | | 3x+4-w=5w-2(w-2) | | 63=-5x-12 | | 90x-90=18x+54 | | Y+3=2y+11 | | 216-3x=37 | | 2b+11=4b-6 | | fx=x^3-9x^2+27x-27 | | 9.3x-x^2=0 | | Cos^2=0.8 |

Equations solver categories