12-(2x-5)(2x-5)=3x

Simple and best practice solution for 12-(2x-5)(2x-5)=3x 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 12-(2x-5)(2x-5)=3x equation:


Simplifying
12 + -1(2x + -5)(2x + -5) = 3x

Reorder the terms:
12 + -1(-5 + 2x)(2x + -5) = 3x

Reorder the terms:
12 + -1(-5 + 2x)(-5 + 2x) = 3x

Multiply (-5 + 2x) * (-5 + 2x)
12 + -1(-5(-5 + 2x) + 2x * (-5 + 2x)) = 3x
12 + -1((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) = 3x
12 + -1((25 + -10x) + 2x * (-5 + 2x)) = 3x
12 + -1(25 + -10x + (-5 * 2x + 2x * 2x)) = 3x
12 + -1(25 + -10x + (-10x + 4x2)) = 3x

Combine like terms: -10x + -10x = -20x
12 + -1(25 + -20x + 4x2) = 3x
12 + (25 * -1 + -20x * -1 + 4x2 * -1) = 3x
12 + (-25 + 20x + -4x2) = 3x

Combine like terms: 12 + -25 = -13
-13 + 20x + -4x2 = 3x

Solving
-13 + 20x + -4x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-13 + 20x + -3x + -4x2 = 3x + -3x

Combine like terms: 20x + -3x = 17x
-13 + 17x + -4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 17x + -4x2 = 0

Factor a trinomial.
(-13 + 4x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-13 + 4x)' equal to zero and attempt to solve: Simplifying -13 + 4x = 0 Solving -13 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 0 + 13 4x = 0 + 13 Combine like terms: 0 + 13 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25

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 = {3.25, 1}

See similar equations:

| -13-q=-21 | | 8x-4/4+3x-9/2=-9 | | 84-7x=20x+21 | | 2(x+1)-3=2x-1 | | 3x/7(8-9)=8x+3 | | 2(x+1)-3=2x+1 | | 3/2*10 | | m-(4)=7 | | 3x+153=11x-7 | | 9x=x-4 | | 3/2*10+1 | | Y=8+1.5x | | -(4m^2-n+7)= | | 8-10x=30-24x | | 5(z-6)+6z=5-9z | | (-5)=-70/x | | -32-7x=10x+21 | | h-3=130-65 | | 7208-220*x=0 | | 20+8(g-11)=-12 | | 6x+7=32-7x | | 2(x+1)-3=x | | 4x+20=12x-86 | | 105-2x=25x+21 | | 5-3y-6y-2= | | 2x^2-35+98=0 | | (x+3)+(3x-1)+4x=34 | | a+2b+5c+6d+8e=977 | | 1g+x=.5g | | a+b+c=54 | | 1+xe(mx+1)=0 | | e(x)=1 |

Equations solver categories