4x^2-1-(2x+1)(5x-2)=0

Simple and best practice solution for 4x^2-1-(2x+1)(5x-2)=0 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^2-1-(2x+1)(5x-2)=0 equation: 


Simplifying
4x2 + -1 + -1(2x + 1)(5x + -2) = 0

Reorder the terms:
4x2 + -1 + -1(1 + 2x)(5x + -2) = 0

Reorder the terms:
4x2 + -1 + -1(1 + 2x)(-2 + 5x) = 0

Multiply (1 + 2x) * (-2 + 5x)
4x2 + -1 + -1(1(-2 + 5x) + 2x * (-2 + 5x)) = 0
4x2 + -1 + -1((-2 * 1 + 5x * 1) + 2x * (-2 + 5x)) = 0
4x2 + -1 + -1((-2 + 5x) + 2x * (-2 + 5x)) = 0
4x2 + -1 + -1(-2 + 5x + (-2 * 2x + 5x * 2x)) = 0
4x2 + -1 + -1(-2 + 5x + (-4x + 10x2)) = 0

Combine like terms: 5x + -4x = 1x
4x2 + -1 + -1(-2 + 1x + 10x2) = 0
4x2 + -1 + (-2 * -1 + 1x * -1 + 10x2 * -1) = 0
4x2 + -1 + (2 + -1x + -10x2) = 0

Reorder the terms:
-1 + 2 + -1x + 4x2 + -10x2 = 0

Combine like terms: -1 + 2 = 1
1 + -1x + 4x2 + -10x2 = 0

Combine like terms: 4x2 + -10x2 = -6x2
1 + -1x + -6x2 = 0

Solving
1 + -1x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(1 + 2x) = 0


Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0.3333333333, -0.5}

See similar equations:

| (12/7)u=(1/5) | | 8x+4=6-(3x-6) | | 8(x-2)+14x=12y-3(30) | | -5x+1=8-6x | | -49=-3x-4(-3x-8) | | -3(7p+2)-2(2-14p)=3(9+2p) | | 1/2-1/3x=4 | | Y=-8x+0 | | 6(x-4)=-30 | | 5x-50=-6x+38 | | 4(0)-6y=24 | | 5x-44=551 | | 4-4(8-4x)=0 | | (5/6)u=3 | | -3+14=m-10 | | 290.7333=1/3*49*h | | R(x)=35+460x-5x^2 | | 5x-6=551 | | 3-4(7x+5)=2 | | 5/6u=3 | | 4x+8=-2x-8-2x | | -98=2x-3(-3x+7) | | 1+b+3+4b=-b-8 | | 10-6=-2 | | f(x+6)=x^2+7x-5 | | 9-4[-2(4-8)-5(3-1)]= | | 7(x+2)-3= | | 1/2x^2-1/4x^2 | | -13+5x-x=x-1 | | 2+34x=4x-3 | | x^2(lnx)=0 | | 1-800-[(12x)*{7y}^2]-[sin(x/y)/3.14*x)]=0 |

Equations solver categories