If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 12x + 24 = 213 Reorder the terms: 24 + 12x + 2x2 = 213 Solving 24 + 12x + 2x2 = 213 Solving for variable 'x'. Reorder the terms: 24 + -213 + 12x + 2x2 = 213 + -213 Combine like terms: 24 + -213 = -189 -189 + 12x + 2x2 = 213 + -213 Combine like terms: 213 + -213 = 0 -189 + 12x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -94.5 + 6x + x2 = 0 Move the constant term to the right: Add '94.5' to each side of the equation. -94.5 + 6x + 94.5 + x2 = 0 + 94.5 Reorder the terms: -94.5 + 94.5 + 6x + x2 = 0 + 94.5 Combine like terms: -94.5 + 94.5 = 0.0 0.0 + 6x + x2 = 0 + 94.5 6x + x2 = 0 + 94.5 Combine like terms: 0 + 94.5 = 94.5 6x + x2 = 94.5 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 94.5 + 9 Reorder the terms: 9 + 6x + x2 = 94.5 + 9 Combine like terms: 94.5 + 9 = 103.5 9 + 6x + x2 = 103.5 Factor a perfect square on the left side: (x + 3)(x + 3) = 103.5 Calculate the square root of the right side: 10.173494975 Break this problem into two subproblems by setting (x + 3) equal to 10.173494975 and -10.173494975.Subproblem 1
x + 3 = 10.173494975 Simplifying x + 3 = 10.173494975 Reorder the terms: 3 + x = 10.173494975 Solving 3 + x = 10.173494975 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 10.173494975 + -3 Combine like terms: 3 + -3 = 0 0 + x = 10.173494975 + -3 x = 10.173494975 + -3 Combine like terms: 10.173494975 + -3 = 7.173494975 x = 7.173494975 Simplifying x = 7.173494975Subproblem 2
x + 3 = -10.173494975 Simplifying x + 3 = -10.173494975 Reorder the terms: 3 + x = -10.173494975 Solving 3 + x = -10.173494975 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -10.173494975 + -3 Combine like terms: 3 + -3 = 0 0 + x = -10.173494975 + -3 x = -10.173494975 + -3 Combine like terms: -10.173494975 + -3 = -13.173494975 x = -13.173494975 Simplifying x = -13.173494975Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.173494975, -13.173494975}
| 63=3x-6(x-6) | | x^2+66x+10=0 | | (x-5)(x+1)+(x-5)(2x-3)=10 | | X^4+px^2+q=0 | | -x-18=12 | | b-12=-40 | | 8+3m=-5 | | 8-(11)= | | 18y-12+2y=52 | | 5x+10y+5=180 | | z+(6x+42)=180 | | y+(-4)=8 | | 6=20+8n | | z+(10x+6)=180 | | 9m+6n-6m+8n= | | 8x-25=5x+50 | | (6x+42)=(10x+6) | | 3x+5y=-1000 | | x^2+1.1x+0.28= | | 5y+7y-2y= | | -34=7x-4(x+16) | | 55-4x=35 | | -v-v= | | (39-3)+-10= | | -8(y-6)=-6 | | 3w+8=-17 | | m^2+6m=-2 | | -5(t-4)+9t=7t-6 | | 2x+15x+8=0 | | -3v+3v= | | -109=3x+2(7x-12) | | 6(4x+8)+2=24x+50 |