If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 209.952 = q(q + -2) Reorder the terms: 209.952 = q(-2 + q) 209.952 = (-2 * q + q * q) 209.952 = (-2q + q2) Solving 209.952 = -2q + q2 Solving for variable 'q'. Reorder the terms: 209.952 + 2q + -1q2 = -2q + 2q + q2 + -1q2 Combine like terms: -2q + 2q = 0 209.952 + 2q + -1q2 = 0 + q2 + -1q2 209.952 + 2q + -1q2 = q2 + -1q2 Combine like terms: q2 + -1q2 = 0 209.952 + 2q + -1q2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -209.952 + -2q + q2 = 0 Move the constant term to the right: Add '209.952' to each side of the equation. -209.952 + -2q + 209.952 + q2 = 0 + 209.952 Reorder the terms: -209.952 + 209.952 + -2q + q2 = 0 + 209.952 Combine like terms: -209.952 + 209.952 = 0.000 0.000 + -2q + q2 = 0 + 209.952 -2q + q2 = 0 + 209.952 Combine like terms: 0 + 209.952 = 209.952 -2q + q2 = 209.952 The q term is -2q. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2q + 1 + q2 = 209.952 + 1 Reorder the terms: 1 + -2q + q2 = 209.952 + 1 Combine like terms: 209.952 + 1 = 210.952 1 + -2q + q2 = 210.952 Factor a perfect square on the left side: (q + -1)(q + -1) = 210.952 Calculate the square root of the right side: 14.524186724 Break this problem into two subproblems by setting (q + -1) equal to 14.524186724 and -14.524186724.Subproblem 1
q + -1 = 14.524186724 Simplifying q + -1 = 14.524186724 Reorder the terms: -1 + q = 14.524186724 Solving -1 + q = 14.524186724 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + q = 14.524186724 + 1 Combine like terms: -1 + 1 = 0 0 + q = 14.524186724 + 1 q = 14.524186724 + 1 Combine like terms: 14.524186724 + 1 = 15.524186724 q = 15.524186724 Simplifying q = 15.524186724Subproblem 2
q + -1 = -14.524186724 Simplifying q + -1 = -14.524186724 Reorder the terms: -1 + q = -14.524186724 Solving -1 + q = -14.524186724 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + q = -14.524186724 + 1 Combine like terms: -1 + 1 = 0 0 + q = -14.524186724 + 1 q = -14.524186724 + 1 Combine like terms: -14.524186724 + 1 = -13.524186724 q = -13.524186724 Simplifying q = -13.524186724Solution
The solution to the problem is based on the solutions from the subproblems. q = {15.524186724, -13.524186724}
| 5(n+3)=3*2n-1 | | X^2-2x+27=0 | | 21(10)=210 | | 7(12X-.5)=11X+4 | | p=5q+5w | | 16(t-4)-12t=-10-13 | | 0.3y+0.9=0.1-0.1y | | 10.9+x=5.5 | | -9-3k=3(-1+5k) | | 3x^2-2=32 | | -10+5x=-10-4 | | C-10=3 | | 2(x+2)+7=5x-3(-4+x) | | 3c+ad=5b+2a | | 8x-(3x-7)= | | 22+r=91 | | y+10=-(x-8) | | (11+9)10=210 | | 2x^2-3xy-4x=6y | | R=17 | | 4N^2+20N+40=0 | | T+5+w+60=180 | | (3x+12)+(7x-32)=180 | | 4(5x-7)=2(10x+4) | | 4(c-3)+7=59 | | 5*f=0 | | 8+5x=4x-1 | | 9*d*10=210 | | 8a+9b=-3 | | -36+4v=-8(-6-2v)+2v | | 2/3*n-11=4+n | | 5+0=x |