If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10820 = x2 + 3x Reorder the terms: 10820 = 3x + x2 Solving 10820 = 3x + x2 Solving for variable 'x'. Reorder the terms: 10820 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 10820 + -3x + -1x2 = 0 + x2 + -1x2 10820 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10820 + -3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -10820 + 3x + x2 = 0 Move the constant term to the right: Add '10820' to each side of the equation. -10820 + 3x + 10820 + x2 = 0 + 10820 Reorder the terms: -10820 + 10820 + 3x + x2 = 0 + 10820 Combine like terms: -10820 + 10820 = 0 0 + 3x + x2 = 0 + 10820 3x + x2 = 0 + 10820 Combine like terms: 0 + 10820 = 10820 3x + x2 = 10820 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = 10820 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 10820 + 2.25 Combine like terms: 10820 + 2.25 = 10822.25 2.25 + 3x + x2 = 10822.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 10822.25 Calculate the square root of the right side: 104.030043737 Break this problem into two subproblems by setting (x + 1.5) equal to 104.030043737 and -104.030043737.Subproblem 1
x + 1.5 = 104.030043737 Simplifying x + 1.5 = 104.030043737 Reorder the terms: 1.5 + x = 104.030043737 Solving 1.5 + x = 104.030043737 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 104.030043737 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 104.030043737 + -1.5 x = 104.030043737 + -1.5 Combine like terms: 104.030043737 + -1.5 = 102.530043737 x = 102.530043737 Simplifying x = 102.530043737Subproblem 2
x + 1.5 = -104.030043737 Simplifying x + 1.5 = -104.030043737 Reorder the terms: 1.5 + x = -104.030043737 Solving 1.5 + x = -104.030043737 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -104.030043737 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -104.030043737 + -1.5 x = -104.030043737 + -1.5 Combine like terms: -104.030043737 + -1.5 = -105.530043737 x = -105.530043737 Simplifying x = -105.530043737Solution
The solution to the problem is based on the solutions from the subproblems. x = {102.530043737, -105.530043737}
| 6*y-7=41-2*y | | 2x+1+x=2(x-1) | | 5(5x-2)=3(-7x+12) | | -33+12y=51 | | -5x+-10x=105 | | 7(2x+3)=6(4x+5) | | 4k^2+26k+30=0 | | 7(12x-17)=12(-4x+11) | | -4x+-22=-82 | | 14x-(5x+4)+29=4x | | 26x^2-20x=0 | | (14X+6)+3x=63 | | -50x+10y=5 | | 7x-(2x+6)+12=3x | | -8j^2-40j-18=0 | | -8k^2+200=0 | | (-2x^3-5x^2-4x+9)=0 | | 4x-16x=108 | | 4n+6=-10 | | (5x+7)(2x-7)=0 | | (3x)(y)=24 | | 8x^2-104x-112=0 | | 5+25x=5x+11 | | sin(30+x)=-cos(x) | | An=n-7 | | cos(x)=-sin(x-30) | | (45-x)/7=4 | | (5x-2)+(9x+3)=(11x-21) | | f(4)=12-7 | | 7p=8(9p+4) | | (5x-2)+(9x-3)=(11x-21) | | -3/8*p=-6 |