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

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


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

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

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

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

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

Reorder the terms:
-10 + 1x + 2x2 = (5 + 2x)(1 + -2x)

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

Combine like terms: -10x + 2x = -8x
-10 + 1x + 2x2 = (5 + -8x + -4x2)

Solving
-10 + 1x + 2x2 = 5 + -8x + -4x2

Solving for variable 'x'.

Reorder the terms:
-10 + -5 + 1x + 8x + 2x2 + 4x2 = 5 + -8x + -4x2 + -5 + 8x + 4x2

Combine like terms: -10 + -5 = -15
-15 + 1x + 8x + 2x2 + 4x2 = 5 + -8x + -4x2 + -5 + 8x + 4x2

Combine like terms: 1x + 8x = 9x
-15 + 9x + 2x2 + 4x2 = 5 + -8x + -4x2 + -5 + 8x + 4x2

Combine like terms: 2x2 + 4x2 = 6x2
-15 + 9x + 6x2 = 5 + -8x + -4x2 + -5 + 8x + 4x2

Reorder the terms:
-15 + 9x + 6x2 = 5 + -5 + -8x + 8x + -4x2 + 4x2

Combine like terms: 5 + -5 = 0
-15 + 9x + 6x2 = 0 + -8x + 8x + -4x2 + 4x2
-15 + 9x + 6x2 = -8x + 8x + -4x2 + 4x2

Combine like terms: -8x + 8x = 0
-15 + 9x + 6x2 = 0 + -4x2 + 4x2
-15 + 9x + 6x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-15 + 9x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 3x + 2x2) = 0

Factor a trinomial.
3((-5 + -2x)(1 + -1x)) = 0

Ignore the factor 3.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-2.5, 1}

See similar equations:

| -42=5w-7 | | 0.4x+18.7=x-5.06 | | K-0.7=2.7 | | (p+1)(p-3)=0 | | (3*0.33)+7y=-5 | | 4u-2=-30 | | (3*0.333)+7y=-5 | | -0.7x+9.27=-0.2x+8.27 | | 40x^2+1200x-60=0 | | 2.3+0.3x=0.2 | | 2.3-0.3x=0.2 | | px^2-(p-3)x+p-3=0 | | -5=2x(4x+6) | | 10x-10=6x-4 | | 12y^2-4x^2+72y+16x+44=0 | | 3(x+2.51)=2x | | 200x-0.32=600x+0.96 | | ln(2x)=x^2+3x-8 | | (3x-5y)-(2x-3y)= | | 28x+3=8x+43 | | 4.3x-80=1.9x+4 | | =3.14*(10)-7 | | (2x+3)(12x-3)=0 | | 1.6=10x+4.2 | | 28x+3=8x+24 | | (3*8)-4y=7 | | y-3.7=9 | | (-4*8)+8y=2 | | 2(x-3.8)=8.6 | | 9x+8.13=2x+18 | | 9(i+3)=63 | | q=w+4 |

Equations solver categories