If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 17x + 5 = 10 Reorder the terms: 5 + 17x + 6x2 = 10 Solving 5 + 17x + 6x2 = 10 Solving for variable 'x'. Reorder the terms: 5 + -10 + 17x + 6x2 = 10 + -10 Combine like terms: 5 + -10 = -5 -5 + 17x + 6x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -5 + 17x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.8333333333 + 2.833333333x + x2 = 0 Move the constant term to the right: Add '0.8333333333' to each side of the equation. -0.8333333333 + 2.833333333x + 0.8333333333 + x2 = 0 + 0.8333333333 Reorder the terms: -0.8333333333 + 0.8333333333 + 2.833333333x + x2 = 0 + 0.8333333333 Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000 0.0000000000 + 2.833333333x + x2 = 0 + 0.8333333333 2.833333333x + x2 = 0 + 0.8333333333 Combine like terms: 0 + 0.8333333333 = 0.8333333333 2.833333333x + x2 = 0.8333333333 The x term is 2.833333333x. Take half its coefficient (1.416666667). Square it (2.006944445) and add it to both sides. Add '2.006944445' to each side of the equation. 2.833333333x + 2.006944445 + x2 = 0.8333333333 + 2.006944445 Reorder the terms: 2.006944445 + 2.833333333x + x2 = 0.8333333333 + 2.006944445 Combine like terms: 0.8333333333 + 2.006944445 = 2.8402777783 2.006944445 + 2.833333333x + x2 = 2.8402777783 Factor a perfect square on the left side: (x + 1.416666667)(x + 1.416666667) = 2.8402777783 Calculate the square root of the right side: 1.685312368 Break this problem into two subproblems by setting (x + 1.416666667) equal to 1.685312368 and -1.685312368.Subproblem 1
x + 1.416666667 = 1.685312368 Simplifying x + 1.416666667 = 1.685312368 Reorder the terms: 1.416666667 + x = 1.685312368 Solving 1.416666667 + x = 1.685312368 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.416666667' to each side of the equation. 1.416666667 + -1.416666667 + x = 1.685312368 + -1.416666667 Combine like terms: 1.416666667 + -1.416666667 = 0.000000000 0.000000000 + x = 1.685312368 + -1.416666667 x = 1.685312368 + -1.416666667 Combine like terms: 1.685312368 + -1.416666667 = 0.268645701 x = 0.268645701 Simplifying x = 0.268645701Subproblem 2
x + 1.416666667 = -1.685312368 Simplifying x + 1.416666667 = -1.685312368 Reorder the terms: 1.416666667 + x = -1.685312368 Solving 1.416666667 + x = -1.685312368 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.416666667' to each side of the equation. 1.416666667 + -1.416666667 + x = -1.685312368 + -1.416666667 Combine like terms: 1.416666667 + -1.416666667 = 0.000000000 0.000000000 + x = -1.685312368 + -1.416666667 x = -1.685312368 + -1.416666667 Combine like terms: -1.685312368 + -1.416666667 = -3.101979035 x = -3.101979035 Simplifying x = -3.101979035Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.268645701, -3.101979035}
| 3x+14+16=180 | | r^2=133-12r | | 2x-1=5y | | .9x+.3y=1.8 | | 50=3x+56 | | X+y+63=180 | | x^2-3x-27x=0 | | (-5/4)x-5=-35 | | 3x-45=7x+23 | | M+-10=-6 | | 4r^2+6r+12=0 | | 15-2/9n=2/9n-1 | | 7-(2/b)=5/b | | p/(p-5)=2/5 | | 14v^2-10v-24=-5v | | 3x=50lbs | | 5(x-2)=3(2x-5)-3 | | 15x+16x= | | D-10=7 | | -2-8=14y-15-13y | | 5a^2+7a-12=0 | | (3.2m+1.8)-1.07= | | x^2-4x+4=-3x^2+12x-9 | | 43r^2+35r-32=-8-6r^2 | | -8+2x=2+2x | | 9x^2-11x+7=0 | | 7g-18=17 | | 2x+35=3x+4 | | 1+2+3+4*5+6+7+8+9*10+11+12+13= | | (t)=8t+15 | | 8y-4y=-3 | | 14n-15-13n-2=15 |