If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.65x2 + 15x = 125 Reorder the terms: 15x + 0.65x2 = 125 Solving 15x + 0.65x2 = 125 Solving for variable 'x'. Reorder the terms: -125 + 15x + 0.65x2 = 125 + -125 Combine like terms: 125 + -125 = 0 -125 + 15x + 0.65x2 = 0 Begin completing the square. Divide all terms by 0.65 the coefficient of the squared term: Divide each side by '0.65'. -192.3076923 + 23.07692308x + x2 = 0 Move the constant term to the right: Add '192.3076923' to each side of the equation. -192.3076923 + 23.07692308x + 192.3076923 + x2 = 0 + 192.3076923 Reorder the terms: -192.3076923 + 192.3076923 + 23.07692308x + x2 = 0 + 192.3076923 Combine like terms: -192.3076923 + 192.3076923 = 0.0000000 0.0000000 + 23.07692308x + x2 = 0 + 192.3076923 23.07692308x + x2 = 0 + 192.3076923 Combine like terms: 0 + 192.3076923 = 192.3076923 23.07692308x + x2 = 192.3076923 The x term is 23.07692308x. Take half its coefficient (11.53846154). Square it (133.1360947) and add it to both sides. Add '133.1360947' to each side of the equation. 23.07692308x + 133.1360947 + x2 = 192.3076923 + 133.1360947 Reorder the terms: 133.1360947 + 23.07692308x + x2 = 192.3076923 + 133.1360947 Combine like terms: 192.3076923 + 133.1360947 = 325.443787 133.1360947 + 23.07692308x + x2 = 325.443787 Factor a perfect square on the left side: (x + 11.53846154)(x + 11.53846154) = 325.443787 Calculate the square root of the right side: 18.040060615 Break this problem into two subproblems by setting (x + 11.53846154) equal to 18.040060615 and -18.040060615.Subproblem 1
x + 11.53846154 = 18.040060615 Simplifying x + 11.53846154 = 18.040060615 Reorder the terms: 11.53846154 + x = 18.040060615 Solving 11.53846154 + x = 18.040060615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.53846154' to each side of the equation. 11.53846154 + -11.53846154 + x = 18.040060615 + -11.53846154 Combine like terms: 11.53846154 + -11.53846154 = 0.00000000 0.00000000 + x = 18.040060615 + -11.53846154 x = 18.040060615 + -11.53846154 Combine like terms: 18.040060615 + -11.53846154 = 6.501599075 x = 6.501599075 Simplifying x = 6.501599075Subproblem 2
x + 11.53846154 = -18.040060615 Simplifying x + 11.53846154 = -18.040060615 Reorder the terms: 11.53846154 + x = -18.040060615 Solving 11.53846154 + x = -18.040060615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.53846154' to each side of the equation. 11.53846154 + -11.53846154 + x = -18.040060615 + -11.53846154 Combine like terms: 11.53846154 + -11.53846154 = 0.00000000 0.00000000 + x = -18.040060615 + -11.53846154 x = -18.040060615 + -11.53846154 Combine like terms: -18.040060615 + -11.53846154 = -29.578522155 x = -29.578522155 Simplifying x = -29.578522155Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.501599075, -29.578522155}
| 11-9t=15t-49 | | 3u^2-26u+15=0 | | 11a-38=5a+70 | | -(1+7x)=6(-7-x)+36 | | 25x+100+7=3 | | 19-4y=-17-6y | | 21-3h=3 | | 3s-12=51 | | 3x+20.4=3x+6 | | 0.8(4.16-3x)=-1.5x | | 3.50x+2.50=13 | | x-2/4-2x-3/2=4 | | 6(2x-5)+4x=-78 | | 200m-75m+53350=53825-150m | | a+8=93 | | -12+4x=16 | | Cosx=3cosx-2 | | 5(x+5)=-12 | | -2x+25+4x+25=4 | | 3x-y=63 | | y=(x-45)/10 | | 0.6(x+18)=7 | | 4x+30+10x-30=x+30 | | -2x-x=-3 | | 7(x-4)=6x+10 | | 13x-2(x+4)-8=1 | | 4xsquared=100 | | 4x+44=-24 | | x/-2=18 | | 5x+12=6x+9 | | H(t)=9t^2 | | 24-5q=19 |