If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7x2 + 15x + 3 = 106 Reorder the terms: 3 + 15x + 7x2 = 106 Solving 3 + 15x + 7x2 = 106 Solving for variable 'x'. Reorder the terms: 3 + -106 + 15x + 7x2 = 106 + -106 Combine like terms: 3 + -106 = -103 -103 + 15x + 7x2 = 106 + -106 Combine like terms: 106 + -106 = 0 -103 + 15x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -14.71428571 + 2.142857143x + x2 = 0 Move the constant term to the right: Add '14.71428571' to each side of the equation. -14.71428571 + 2.142857143x + 14.71428571 + x2 = 0 + 14.71428571 Reorder the terms: -14.71428571 + 14.71428571 + 2.142857143x + x2 = 0 + 14.71428571 Combine like terms: -14.71428571 + 14.71428571 = 0.00000000 0.00000000 + 2.142857143x + x2 = 0 + 14.71428571 2.142857143x + x2 = 0 + 14.71428571 Combine like terms: 0 + 14.71428571 = 14.71428571 2.142857143x + x2 = 14.71428571 The x term is 2.142857143x. Take half its coefficient (1.071428572). Square it (1.147959185) and add it to both sides. Add '1.147959185' to each side of the equation. 2.142857143x + 1.147959185 + x2 = 14.71428571 + 1.147959185 Reorder the terms: 1.147959185 + 2.142857143x + x2 = 14.71428571 + 1.147959185 Combine like terms: 14.71428571 + 1.147959185 = 15.862244895 1.147959185 + 2.142857143x + x2 = 15.862244895 Factor a perfect square on the left side: (x + 1.071428572)(x + 1.071428572) = 15.862244895 Calculate the square root of the right side: 3.982743388 Break this problem into two subproblems by setting (x + 1.071428572) equal to 3.982743388 and -3.982743388.Subproblem 1
x + 1.071428572 = 3.982743388 Simplifying x + 1.071428572 = 3.982743388 Reorder the terms: 1.071428572 + x = 3.982743388 Solving 1.071428572 + x = 3.982743388 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.071428572' to each side of the equation. 1.071428572 + -1.071428572 + x = 3.982743388 + -1.071428572 Combine like terms: 1.071428572 + -1.071428572 = 0.000000000 0.000000000 + x = 3.982743388 + -1.071428572 x = 3.982743388 + -1.071428572 Combine like terms: 3.982743388 + -1.071428572 = 2.911314816 x = 2.911314816 Simplifying x = 2.911314816Subproblem 2
x + 1.071428572 = -3.982743388 Simplifying x + 1.071428572 = -3.982743388 Reorder the terms: 1.071428572 + x = -3.982743388 Solving 1.071428572 + x = -3.982743388 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.071428572' to each side of the equation. 1.071428572 + -1.071428572 + x = -3.982743388 + -1.071428572 Combine like terms: 1.071428572 + -1.071428572 = 0.000000000 0.000000000 + x = -3.982743388 + -1.071428572 x = -3.982743388 + -1.071428572 Combine like terms: -3.982743388 + -1.071428572 = -5.05417196 x = -5.05417196 Simplifying x = -5.05417196Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.911314816, -5.05417196}
| sec^4x-sec^2x-2=0 | | 76-3x=33x+2 | | -48=9p-3 | | 3(4x-2)-12x+4=7 | | 2x+3-4x=-10 | | 143-4x=23+17 | | 7x+4=14x+16 | | 12=-w | | 6-24=14y-5 | | 35=3(3n+5)-5n | | 4(8+6k)=-64 | | 24x+7-27x=2-7 | | X^2+16x-60=0 | | 44-4x=44-4x | | -2w^2+7w-6=0 | | 24=3(8+8k) | | 343.57x+-1.35=300 | | -x+4=-5-x | | y=3+.25x | | 5(1-6n)=-55 | | 2-f=10 | | 2x+3(x-9)-2(x-3)=0 | | 71=-6(3x+5)-7 | | y+10.5=9.4 | | x^3-x=90 | | 19n+11= | | x-3=-4.5 | | 21.78=4g+3.62 | | 2w-5w=18 | | 5x=120-5x | | 3(b+3)=3(2b-6) | | 12+5k=6(k+2) |