If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10n2 + -29n + -10 = 0 Reorder the terms: -10 + -29n + 10n2 = 0 Solving -10 + -29n + 10n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. -1 + -2.9n + n2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -2.9n + 1 + n2 = 0 + 1 Reorder the terms: -1 + 1 + -2.9n + n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2.9n + n2 = 0 + 1 -2.9n + n2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2.9n + n2 = 1 The n term is -2.9n. Take half its coefficient (-1.45). Square it (2.1025) and add it to both sides. Add '2.1025' to each side of the equation. -2.9n + 2.1025 + n2 = 1 + 2.1025 Reorder the terms: 2.1025 + -2.9n + n2 = 1 + 2.1025 Combine like terms: 1 + 2.1025 = 3.1025 2.1025 + -2.9n + n2 = 3.1025 Factor a perfect square on the left side: (n + -1.45)(n + -1.45) = 3.1025 Calculate the square root of the right side: 1.761391495 Break this problem into two subproblems by setting (n + -1.45) equal to 1.761391495 and -1.761391495.Subproblem 1
n + -1.45 = 1.761391495 Simplifying n + -1.45 = 1.761391495 Reorder the terms: -1.45 + n = 1.761391495 Solving -1.45 + n = 1.761391495 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.45' to each side of the equation. -1.45 + 1.45 + n = 1.761391495 + 1.45 Combine like terms: -1.45 + 1.45 = 0.00 0.00 + n = 1.761391495 + 1.45 n = 1.761391495 + 1.45 Combine like terms: 1.761391495 + 1.45 = 3.211391495 n = 3.211391495 Simplifying n = 3.211391495Subproblem 2
n + -1.45 = -1.761391495 Simplifying n + -1.45 = -1.761391495 Reorder the terms: -1.45 + n = -1.761391495 Solving -1.45 + n = -1.761391495 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.45' to each side of the equation. -1.45 + 1.45 + n = -1.761391495 + 1.45 Combine like terms: -1.45 + 1.45 = 0.00 0.00 + n = -1.761391495 + 1.45 n = -1.761391495 + 1.45 Combine like terms: -1.761391495 + 1.45 = -0.311391495 n = -0.311391495 Simplifying n = -0.311391495Solution
The solution to the problem is based on the solutions from the subproblems. n = {3.211391495, -0.311391495}
| 10n^2+29n+10=0 | | 4(q-11)+3=19 | | 2cosx^2-cosx+-1=0 | | X(9x+1)=-2 | | 5x+4y-2=-6+7y-3x | | 5x^2-3x=3x-1 | | (4x^2+7x+1)-(3x^2+2x+6)= | | 7=3(r+1)+1 | | 3x+10=140 | | 2x(x^2+11x+28)=0 | | X+(x-15)=190 | | (3t^2+2t-7)+(t^2-2t-6)= | | -2(d+3)=10 | | C=0.3m+16 | | 3/4x=7/3 | | -2x-3(x+6)=18 | | 8x-15=x+6 | | 5a^2-10a-ab+2b=equation | | -2+3+d=1 | | (7u^2-4u-2)+(-5u+1)= | | -4(3x-4)=10+6 | | 0=0.8x+29 | | 27u^2-48=0 | | 2x^6+x^3-1=0 | | 4(2x+9)=-24+12 | | 5m-1.5=1.5 | | (w^2-7w+6)-(-3w^2+4w+5)= | | 4(2x+9)=-24+1226 | | 7x-10=3(x+1)-15 | | 2/2-1=1/2 | | 2/5(6x-5)10 | | 35h+25=40a |