2x^2(5x^2-6x-3)=0

Simple and best practice solution for 2x^2(5x^2-6x-3)=0 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(5x^2-6x-3)=0 equation:


Simplifying
2x2(5x2 + -6x + -3) = 0

Reorder the terms:
2x2(-3 + -6x + 5x2) = 0
(-3 * 2x2 + -6x * 2x2 + 5x2 * 2x2) = 0
(-6x2 + -12x3 + 10x4) = 0

Solving
-6x2 + -12x3 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-3 + -6x + 5x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-3 + -6x + 5x2)' equal to zero and attempt to solve: Simplifying -3 + -6x + 5x2 = 0 Solving -3 + -6x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -0.6 + -1.2x + x2 = 0 Move the constant term to the right: Add '0.6' to each side of the equation. -0.6 + -1.2x + 0.6 + x2 = 0 + 0.6 Reorder the terms: -0.6 + 0.6 + -1.2x + x2 = 0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -1.2x + x2 = 0 + 0.6 -1.2x + x2 = 0 + 0.6 Combine like terms: 0 + 0.6 = 0.6 -1.2x + x2 = 0.6 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = 0.6 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = 0.6 + 0.36 Combine like terms: 0.6 + 0.36 = 0.96 0.36 + -1.2x + x2 = 0.96 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = 0.96 Calculate the square root of the right side: 0.979795897 Break this problem into two subproblems by setting (x + -0.6) equal to 0.979795897 and -0.979795897.

Subproblem 1

x + -0.6 = 0.979795897 Simplifying x + -0.6 = 0.979795897 Reorder the terms: -0.6 + x = 0.979795897 Solving -0.6 + x = 0.979795897 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + x = 0.979795897 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + x = 0.979795897 + 0.6 x = 0.979795897 + 0.6 Combine like terms: 0.979795897 + 0.6 = 1.579795897 x = 1.579795897 Simplifying x = 1.579795897

Subproblem 2

x + -0.6 = -0.979795897 Simplifying x + -0.6 = -0.979795897 Reorder the terms: -0.6 + x = -0.979795897 Solving -0.6 + x = -0.979795897 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + x = -0.979795897 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + x = -0.979795897 + 0.6 x = -0.979795897 + 0.6 Combine like terms: -0.979795897 + 0.6 = -0.379795897 x = -0.379795897 Simplifying x = -0.379795897

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.579795897, -0.379795897}

Solution

x = {0, 1.579795897, -0.379795897}

See similar equations:

| 102=4-2x+x-6 | | 9=m+2 | | 14a-10a=17+a-6+1 | | 4+5=x-7 | | X^2-2x-7=5-3x | | -10p-6(2-3p)=6(p-4)-6 | | -12-5(6-2m)=10 | | 9x^2-18x+16=0 | | -2+8(-2x-3)=-2(1+5x) | | (3x^2-21x)=26 | | (x-7y)(x+4y)= | | X^2=-10-9 | | x^4+x^3=y^2 | | 0.10(b+200.00)=55.00 | | I+i=6 | | 29=x+11+8x | | 15y-10=6y+(-y+2)-(y+3) | | 7(x-1)+3=x+4(x+2)+2 | | p(5p+6)(5p-6)= | | (3x^2-21x)=16 | | x^2+3-x=5 | | 5x-7+15x=15x+14 | | 6(x-3)=8(x-2)-4x | | 15x-9=3x+5 | | z^2-(2+i)z+(3+i)=0 | | -2*y+3=20 | | -2(s+-36)+8=44 | | 1.50h+19.00=2.75h+17.00 | | 12-3x-2x= | | (p)(p)(p)-(2p)+(2p)(2p)(2p)=0 | | 7x+3+9x=67 | | 12(r+18)+10=-50 |

Equations solver categories