(5-2x)(2x+1)=4x^2-25

Simple and best practice solution for (5-2x)(2x+1)=4x^2-25 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 (5-2x)(2x+1)=4x^2-25 equation: 


Simplifying
(5 + -2x)(2x + 1) = 4x2 + -25

Reorder the terms:
(5 + -2x)(1 + 2x) = 4x2 + -25

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

Combine like terms: 10x + -2x = 8x
(5 + 8x + -4x2) = 4x2 + -25

Reorder the terms:
5 + 8x + -4x2 = -25 + 4x2

Solving
5 + 8x + -4x2 = -25 + 4x2

Solving for variable 'x'.

Reorder the terms:
5 + 25 + 8x + -4x2 + -4x2 = -25 + 4x2 + 25 + -4x2

Combine like terms: 5 + 25 = 30
30 + 8x + -4x2 + -4x2 = -25 + 4x2 + 25 + -4x2

Combine like terms: -4x2 + -4x2 = -8x2
30 + 8x + -8x2 = -25 + 4x2 + 25 + -4x2

Reorder the terms:
30 + 8x + -8x2 = -25 + 25 + 4x2 + -4x2

Combine like terms: -25 + 25 = 0
30 + 8x + -8x2 = 0 + 4x2 + -4x2
30 + 8x + -8x2 = 4x2 + -4x2

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

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 4x + -4x2) = 0

Factor a trinomial.
2((5 + -2x)(3 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {2.5, -1.5}

See similar equations:

| (y+1)(y-2)= | | 3m/7=9 | | (5-2x)(2x+7)=4x^2-25 | | (6x+4)-(-6x+5)= | | Y(5-2)=52 | | (x+12)*4=90-2x | | 4x^4-2x^3+7x^2+3x+9=0 | | 2r-.75=1 | | (2x+1)+(-1x+9)= | | 4(x+12)=90-2x | | 4(4+12)=90-2x | | 22=6p+4 | | a-4x=14 | | 5x-2(-2x+1)=2(2x+15) | | 10x^2-135=25 | | -6(x+1)-12=28+8 | | 22=6p+4p | | 4(-5)+2=x+3 | | 44-3x=9-8x | | 3(-2x-7)=3(-9x+5) | | 64-5x=31x+24 | | 0.3333(2x-5)=3 | | (4x-12)=(2y+16) | | 16+5z=-4 | | 4+65x=39x+10 | | 11+-3= | | 4x+6=-50-4x | | 9+3(x+2)=21 | | a*5+71=a*9-5 | | 2(q+3)=1 | | 8y-2=-8 | | -22+7= |

Equations solver categories