64x^2+128x+54=0

Simple and best practice solution for 64x^2+128x+54=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 64x^2+128x+54=0 equation:


Simplifying
64x2 + 128x + 54 = 0

Reorder the terms:
54 + 128x + 64x2 = 0

Solving
54 + 128x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(27 + 64x + 32x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(27 + 64x + 32x2)' equal to zero and attempt to solve: Simplifying 27 + 64x + 32x2 = 0 Solving 27 + 64x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.84375 + 2x + x2 = 0 Move the constant term to the right: Add '-0.84375' to each side of the equation. 0.84375 + 2x + -0.84375 + x2 = 0 + -0.84375 Reorder the terms: 0.84375 + -0.84375 + 2x + x2 = 0 + -0.84375 Combine like terms: 0.84375 + -0.84375 = 0.00000 0.00000 + 2x + x2 = 0 + -0.84375 2x + x2 = 0 + -0.84375 Combine like terms: 0 + -0.84375 = -0.84375 2x + x2 = -0.84375 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -0.84375 + 1 Reorder the terms: 1 + 2x + x2 = -0.84375 + 1 Combine like terms: -0.84375 + 1 = 0.15625 1 + 2x + x2 = 0.15625 Factor a perfect square on the left side: (x + 1)(x + 1) = 0.15625 Calculate the square root of the right side: 0.395284708 Break this problem into two subproblems by setting (x + 1) equal to 0.395284708 and -0.395284708.

Subproblem 1

x + 1 = 0.395284708 Simplifying x + 1 = 0.395284708 Reorder the terms: 1 + x = 0.395284708 Solving 1 + x = 0.395284708 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0.395284708 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0.395284708 + -1 x = 0.395284708 + -1 Combine like terms: 0.395284708 + -1 = -0.604715292 x = -0.604715292 Simplifying x = -0.604715292

Subproblem 2

x + 1 = -0.395284708 Simplifying x + 1 = -0.395284708 Reorder the terms: 1 + x = -0.395284708 Solving 1 + x = -0.395284708 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -0.395284708 + -1 Combine like terms: 1 + -1 = 0 0 + x = -0.395284708 + -1 x = -0.395284708 + -1 Combine like terms: -0.395284708 + -1 = -1.395284708 x = -1.395284708 Simplifying x = -1.395284708

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.604715292, -1.395284708}

Solution

x = {-0.604715292, -1.395284708}

See similar equations:

| 4.8q-1.2-5.6q=-1.8q-2.4 | | 13200-250=10560 | | -53-5x=94-12x | | 3/2x+3/4x+3/8x=21 | | 5(n-6)= | | 4y+2=128 | | 9(t-5)+5t=7(2t+5)-13 | | g/3+5=4 | | 3-27/2= | | 4x-2=-3+5x | | y/2-1=5 | | -2+5=-9 | | g+(-4)=12 | | -5+s=8 | | v-12=-4 | | (2x+1)=2 | | 2(a-8)+7=5(a-2)-4a-19 | | z^2+18z+62=0 | | z^2+182+62=0 | | (X^3-13x+12)/(x-3) | | -5/8y=-5 | | 9(x+3)=3(x+3) | | 1-4n=-n-2 | | x+5forx=-18 | | 4a-5b= | | 49Z+4=54 | | 7y^0= | | (6^3/9)+(18+10)^2 | | 14/5(3/10) | | K=13+5k | | -3=-2/3+v/3 | | 33+17=x-20 |

Equations solver categories