(2x-1)(2x-1)=7x+4

Simple and best practice solution for (2x-1)(2x-1)=7x+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 (2x-1)(2x-1)=7x+4 equation: 


Simplifying
(2x + -1)(2x + -1) = 7x + 4

Reorder the terms:
(-1 + 2x)(2x + -1) = 7x + 4

Reorder the terms:
(-1 + 2x)(-1 + 2x) = 7x + 4

Multiply (-1 + 2x) * (-1 + 2x)
(-1(-1 + 2x) + 2x * (-1 + 2x)) = 7x + 4
((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) = 7x + 4
((1 + -2x) + 2x * (-1 + 2x)) = 7x + 4
(1 + -2x + (-1 * 2x + 2x * 2x)) = 7x + 4
(1 + -2x + (-2x + 4x2)) = 7x + 4

Combine like terms: -2x + -2x = -4x
(1 + -4x + 4x2) = 7x + 4

Reorder the terms:
1 + -4x + 4x2 = 4 + 7x

Solving
1 + -4x + 4x2 = 4 + 7x

Solving for variable 'x'.

Reorder the terms:
1 + -4 + -4x + -7x + 4x2 = 4 + 7x + -4 + -7x

Combine like terms: 1 + -4 = -3
-3 + -4x + -7x + 4x2 = 4 + 7x + -4 + -7x

Combine like terms: -4x + -7x = -11x
-3 + -11x + 4x2 = 4 + 7x + -4 + -7x

Reorder the terms:
-3 + -11x + 4x2 = 4 + -4 + 7x + -7x

Combine like terms: 4 + -4 = 0
-3 + -11x + 4x2 = 0 + 7x + -7x
-3 + -11x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -11x + 4x2 = 0

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


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

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 2
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
Solution
x = {-0.25, 3}

See similar equations:

| (ax-b)/(a-bx) | | 16(3+x)=20x | | 36x^2/12x= | | Y=10.5-x | | 7b^2(9b+8b^6)= | | 2+3y=-7 | | 7b^2(9b+8b^8)= | | -4/7x=1 | | 1-3=x | | 3(x-1)=-2(x-1)-4 | | 4r-5=27 | | 400=10d | | 3Y+3=(Y+2) | | 5x+7=58 | | 4(6x+2y+3)= | | V=1/3(3.14)(36)(7) | | 4x^4-28x^3+28x^2-196x=0 | | 3(3+2x)=5(x-3) | | 2x-y=k | | 5x-x=7500 | | 0=9.6x-0.6x^5 | | logx+7(16)=4 | | 6x/5=7 | | 85=32x | | 4y-2=3x-1 | | 7(5c-1)-2=83c+17 | | 4x+8-8=24-8 | | (12)x=16 | | 5x+3=252x | | 36x^2-144y^2= | | 8x-2+4x=7x-3 | | 22x+2=24x |

Equations solver categories