2x-(x-3)(x-4)2=12

Simple and best practice solution for 2x-(x-3)(x-4)2=12 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-(x-3)(x-4)2=12 equation:


Simplifying
2x + -1(x + -3)(x + -4) * 2 = 12

Reorder the terms:
2x + -1(-3 + x)(x + -4) * 2 = 12

Reorder the terms:
2x + -1(-3 + x)(-4 + x) * 2 = 12

Reorder the terms for easier multiplication:
2x + -1 * 2(-3 + x)(-4 + x) = 12

Multiply -1 * 2
2x + -2(-3 + x)(-4 + x) = 12

Multiply (-3 + x) * (-4 + x)
2x + -2(-3(-4 + x) + x(-4 + x)) = 12
2x + -2((-4 * -3 + x * -3) + x(-4 + x)) = 12
2x + -2((12 + -3x) + x(-4 + x)) = 12
2x + -2(12 + -3x + (-4 * x + x * x)) = 12
2x + -2(12 + -3x + (-4x + x2)) = 12

Combine like terms: -3x + -4x = -7x
2x + -2(12 + -7x + x2) = 12
2x + (12 * -2 + -7x * -2 + x2 * -2) = 12
2x + (-24 + 14x + -2x2) = 12

Reorder the terms:
-24 + 2x + 14x + -2x2 = 12

Combine like terms: 2x + 14x = 16x
-24 + 16x + -2x2 = 12

Solving
-24 + 16x + -2x2 = 12

Solving for variable 'x'.

Reorder the terms:
-24 + -12 + 16x + -2x2 = 12 + -12

Combine like terms: -24 + -12 = -36
-36 + 16x + -2x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-36 + 16x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 8x + -1x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-18 + 8x + -1x2)' equal to zero and attempt to solve: Simplifying -18 + 8x + -1x2 = 0 Solving -18 + 8x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 18 + -8x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -8x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8x + x2 = 0 + -18 -8x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8x + x2 = -18 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -18 + 16 Reorder the terms: 16 + -8x + x2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8x + x2 = -2 Factor a perfect square on the left side: (x + -4)(x + -4) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 6x-14=15x-35 | | x+3/4=5/9 | | 64-6x=3x+15 | | 12-10x=44-38x | | x+3/2=1/2 | | -6x=5x+4 | | 2x-5=9x-47 | | 10=-16t^2+10t | | 6[5-(6x-5)]+7x=0 | | 12b+1222=333333 | | 12x^2-54-30=0 | | 0.3(x+60)+0.1x=22 | | 0.1x^2+8x-50=0 | | 6x-87=3x-9 | | 35(x-1)=-7(5-x)+28x | | D(x)=2964+5362x+5701 | | 2x-17=x-7 | | 5x+13=-95x-7x | | 9(t-2)+3t=4(3t+4)-10 | | 3+10m-2=5m+36-2m | | 4x+27=12x-37 | | 11=-1x | | 2x=6+x | | 97-3x=24x+19 | | 116-2x=16x+16 | | 100-2x=5x+23 | | -52-2=12-10x | | 29x^2-23x=0 | | 2x(45)= | | 3x+11=2x | | 9x+3=-195 | | 15x+6.5=10x |

Equations solver categories