675*x^2-3375*x+1818=0

Simple and best practice solution for 675*x^2-3375*x+1818=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 675*x^2-3375*x+1818=0 equation:


Simplifying
675x2 + -3375x + 1818 = 0

Reorder the terms:
1818 + -3375x + 675x2 = 0

Solving
1818 + -3375x + 675x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(202 + -375x + 75x2) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(202 + -375x + 75x2)' equal to zero and attempt to solve: Simplifying 202 + -375x + 75x2 = 0 Solving 202 + -375x + 75x2 = 0 Begin completing the square. Divide all terms by 75 the coefficient of the squared term: Divide each side by '75'. 2.693333333 + -5x + x2 = 0 Move the constant term to the right: Add '-2.693333333' to each side of the equation. 2.693333333 + -5x + -2.693333333 + x2 = 0 + -2.693333333 Reorder the terms: 2.693333333 + -2.693333333 + -5x + x2 = 0 + -2.693333333 Combine like terms: 2.693333333 + -2.693333333 = 0.000000000 0.000000000 + -5x + x2 = 0 + -2.693333333 -5x + x2 = 0 + -2.693333333 Combine like terms: 0 + -2.693333333 = -2.693333333 -5x + x2 = -2.693333333 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -2.693333333 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -2.693333333 + 6.25 Combine like terms: -2.693333333 + 6.25 = 3.556666667 6.25 + -5x + x2 = 3.556666667 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = 3.556666667 Calculate the square root of the right side: 1.885912688 Break this problem into two subproblems by setting (x + -2.5) equal to 1.885912688 and -1.885912688.

Subproblem 1

x + -2.5 = 1.885912688 Simplifying x + -2.5 = 1.885912688 Reorder the terms: -2.5 + x = 1.885912688 Solving -2.5 + x = 1.885912688 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 1.885912688 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 1.885912688 + 2.5 x = 1.885912688 + 2.5 Combine like terms: 1.885912688 + 2.5 = 4.385912688 x = 4.385912688 Simplifying x = 4.385912688

Subproblem 2

x + -2.5 = -1.885912688 Simplifying x + -2.5 = -1.885912688 Reorder the terms: -2.5 + x = -1.885912688 Solving -2.5 + x = -1.885912688 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -1.885912688 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -1.885912688 + 2.5 x = -1.885912688 + 2.5 Combine like terms: -1.885912688 + 2.5 = 0.614087312 x = 0.614087312 Simplifying x = 0.614087312

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.385912688, 0.614087312}

Solution

x = {4.385912688, 0.614087312}

See similar equations:

| f(x)=3x^3-11x^2-24x+20 | | x^2-5.5*x-7.3=0 | | x(1+y^2)dx-y(1+x^2)dy=0 | | p(x)=6x-5 | | 3x-2y=-33 | | f(x)=3x^2-24x+20 | | ln(x-2)-ln(x-11)=ln(x-1)-ln(x+14) | | 8x+[20-(3x-11)]=-6+4(2-6x) | | 14x+5=3(-x+3)-11 | | 42t^2-100t+50=0 | | -5(2x+5)=-25 | | 26-8x=3[2-4(x-7)] | | -10(s+3)=-62 | | -4=-8+4x | | 2y-8x=-2 | | 3(3x+7)=66 | | 5(2x+8)=120 | | 1.5d+3.25=1+22.5 | | 144/((72/4)/6) | | -13+3x=52+24x | | 2a(a-2)x=a-2 | | 313=-16t^2+153t+3 | | -5x-6=-42 | | x-3=46-6x | | 6x-4=-58 | | p(x)=6x^4-18x^3+6x^2-30x+36 | | Q=1/2P-4 | | 25+30x=295 | | D(x)=x^7+2*x^5+5*x | | 7x-5=-37+3x | | 3(4+4)= | | -58=x-7x+8 |

Equations solver categories