(2x^2-3)(x+4)=21(x-2)

Simple and best practice solution for (2x^2-3)(x+4)=21(x-2) 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^2-3)(x+4)=21(x-2) equation:


Simplifying
(2x2 + -3)(x + 4) = 21(x + -2)

Reorder the terms:
(-3 + 2x2)(x + 4) = 21(x + -2)

Reorder the terms:
(-3 + 2x2)(4 + x) = 21(x + -2)

Multiply (-3 + 2x2) * (4 + x)
(-3(4 + x) + 2x2 * (4 + x)) = 21(x + -2)
((4 * -3 + x * -3) + 2x2 * (4 + x)) = 21(x + -2)
((-12 + -3x) + 2x2 * (4 + x)) = 21(x + -2)
(-12 + -3x + (4 * 2x2 + x * 2x2)) = 21(x + -2)
(-12 + -3x + (8x2 + 2x3)) = 21(x + -2)
(-12 + -3x + 8x2 + 2x3) = 21(x + -2)

Reorder the terms:
-12 + -3x + 8x2 + 2x3 = 21(-2 + x)
-12 + -3x + 8x2 + 2x3 = (-2 * 21 + x * 21)
-12 + -3x + 8x2 + 2x3 = (-42 + 21x)

Solving
-12 + -3x + 8x2 + 2x3 = -42 + 21x

Solving for variable 'x'.

Reorder the terms:
-12 + 42 + -3x + -21x + 8x2 + 2x3 = -42 + 21x + 42 + -21x

Combine like terms: -12 + 42 = 30
30 + -3x + -21x + 8x2 + 2x3 = -42 + 21x + 42 + -21x

Combine like terms: -3x + -21x = -24x
30 + -24x + 8x2 + 2x3 = -42 + 21x + 42 + -21x

Reorder the terms:
30 + -24x + 8x2 + 2x3 = -42 + 42 + 21x + -21x

Combine like terms: -42 + 42 = 0
30 + -24x + 8x2 + 2x3 = 0 + 21x + -21x
30 + -24x + 8x2 + 2x3 = 21x + -21x

Combine like terms: 21x + -21x = 0
30 + -24x + 8x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -12x + 4x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + -12x + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
15 + -12x + 4x2 + x3 = 0

Solving
15 + -12x + 4x2 + x3 = 0

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:

| A=12m*6m | | (2w-5)(2w+6v+1)= | | 4x^2=20x-17 | | 10x^3+45x^2+50x=0 | | 14x^2=22 | | 14x^2-22=0 | | x^2-20x+0= | | 14x=22/x | | 2x+5y=4 | | 14x-22/7 | | 3(2x-7)=5x+15 | | -11a+5a=7 | | y=40/9x | | 7=-11a+5a | | 6x/5-x=10 | | 3-x=12(x-1) | | 12-6=18 | | -2sin(x)+2cos(2x)=0 | | 5-5t=4t-22 | | 5-5t=-22 | | -3y-13=-23 | | 2x+12-12=80-12 | | -6(2v-5)+2v=2(v+7) | | 7=m/5 | | 2x+15-15=39-15 | | x/x-99=.2 | | 2(y-4)-4=-6(-4y+1)-8y | | 2(9y-4)-4=-6(4y+1)-8y | | (2-w)(2w-1)=0 | | (v-1)(v-7)=0 | | 2x-8+8=32+8 | | 3x-7+7=32+7 |

Equations solver categories