4x^2-32x+30=0

Simple and best practice solution for 4x^2-32x+30=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 4x^2-32x+30=0 equation:


Simplifying
4x2 + -32x + 30 = 0

Reorder the terms:
30 + -32x + 4x2 = 0

Solving
30 + -32x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -16x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(15 + -16x + 2x2)' equal to zero and attempt to solve: Simplifying 15 + -16x + 2x2 = 0 Solving 15 + -16x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + -8x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -8x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -8x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -8x + x2 = 0 + -7.5 -8x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -8x + x2 = -7.5 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 = -7.5 + 16 Reorder the terms: 16 + -8x + x2 = -7.5 + 16 Combine like terms: -7.5 + 16 = 8.5 16 + -8x + x2 = 8.5 Factor a perfect square on the left side: (x + -4)(x + -4) = 8.5 Calculate the square root of the right side: 2.915475947 Break this problem into two subproblems by setting (x + -4) equal to 2.915475947 and -2.915475947.

Subproblem 1

x + -4 = 2.915475947 Simplifying x + -4 = 2.915475947 Reorder the terms: -4 + x = 2.915475947 Solving -4 + x = 2.915475947 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 2.915475947 + 4 Combine like terms: -4 + 4 = 0 0 + x = 2.915475947 + 4 x = 2.915475947 + 4 Combine like terms: 2.915475947 + 4 = 6.915475947 x = 6.915475947 Simplifying x = 6.915475947

Subproblem 2

x + -4 = -2.915475947 Simplifying x + -4 = -2.915475947 Reorder the terms: -4 + x = -2.915475947 Solving -4 + x = -2.915475947 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -2.915475947 + 4 Combine like terms: -4 + 4 = 0 0 + x = -2.915475947 + 4 x = -2.915475947 + 4 Combine like terms: -2.915475947 + 4 = 1.084524053 x = 1.084524053 Simplifying x = 1.084524053

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.915475947, 1.084524053}

Solution

x = {6.915475947, 1.084524053}

See similar equations:

| 4x-6=3x-3 | | 3x-34=180 | | 5x^3-50x^2+45x=0 | | 2(x+1)+2(x-2)=3(x-3)+4 | | -x-4y=-4 | | 10x-205=3x-9 | | 0.25(x-1)=0 | | x+2x+6=0 | | (5-19z)= | | 7x-5=43+x | | x^2+5x-21=9 | | 2x+33.5+x+27.1= | | 3x-3+3x=-57 | | (8x-5)+(6x+21)=180 | | 12-10x=172-38x | | (2x+5)+5x=180 | | (5x-4)(4x-9)=y | | (3x-9)+81=180 | | 6z+8-0.59(2z+20)=18 | | 62+118=180 | | (4x+2)+(2x+16)=180 | | 21-4v=-11 | | 0.25(16a-12)+5=33 | | X=3+1 | | 1=X-3 | | 1=29+6X-26 | | 1.15(0.06d)=45 | | 4n+5=17 | | (x-3)/10+(x-5)/5=1/2 | | 10=8+3r | | 1=29+6-26 | | (4x+12)+2x=180 |

Equations solver categories