If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9x2 + -36x + 36 + 4x2 + 44x + 121 = 400 Reorder the terms: 36 + 121 + -36x + 44x + 9x2 + 4x2 = 400 Combine like terms: 36 + 121 = 157 157 + -36x + 44x + 9x2 + 4x2 = 400 Combine like terms: -36x + 44x = 8x 157 + 8x + 9x2 + 4x2 = 400 Combine like terms: 9x2 + 4x2 = 13x2 157 + 8x + 13x2 = 400 Solving 157 + 8x + 13x2 = 400 Solving for variable 'x'. Reorder the terms: 157 + -400 + 8x + 13x2 = 400 + -400 Combine like terms: 157 + -400 = -243 -243 + 8x + 13x2 = 400 + -400 Combine like terms: 400 + -400 = 0 -243 + 8x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. -18.69230769 + 0.6153846154x + x2 = 0 Move the constant term to the right: Add '18.69230769' to each side of the equation. -18.69230769 + 0.6153846154x + 18.69230769 + x2 = 0 + 18.69230769 Reorder the terms: -18.69230769 + 18.69230769 + 0.6153846154x + x2 = 0 + 18.69230769 Combine like terms: -18.69230769 + 18.69230769 = 0.00000000 0.00000000 + 0.6153846154x + x2 = 0 + 18.69230769 0.6153846154x + x2 = 0 + 18.69230769 Combine like terms: 0 + 18.69230769 = 18.69230769 0.6153846154x + x2 = 18.69230769 The x term is 0.6153846154x. Take half its coefficient (0.3076923077). Square it (0.09467455622) and add it to both sides. Add '0.09467455622' to each side of the equation. 0.6153846154x + 0.09467455622 + x2 = 18.69230769 + 0.09467455622 Reorder the terms: 0.09467455622 + 0.6153846154x + x2 = 18.69230769 + 0.09467455622 Combine like terms: 18.69230769 + 0.09467455622 = 18.78698224622 0.09467455622 + 0.6153846154x + x2 = 18.78698224622 Factor a perfect square on the left side: (x + 0.3076923077)(x + 0.3076923077) = 18.78698224622 Calculate the square root of the right side: 4.334395257 Break this problem into two subproblems by setting (x + 0.3076923077) equal to 4.334395257 and -4.334395257.Subproblem 1
x + 0.3076923077 = 4.334395257 Simplifying x + 0.3076923077 = 4.334395257 Reorder the terms: 0.3076923077 + x = 4.334395257 Solving 0.3076923077 + x = 4.334395257 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3076923077' to each side of the equation. 0.3076923077 + -0.3076923077 + x = 4.334395257 + -0.3076923077 Combine like terms: 0.3076923077 + -0.3076923077 = 0.0000000000 0.0000000000 + x = 4.334395257 + -0.3076923077 x = 4.334395257 + -0.3076923077 Combine like terms: 4.334395257 + -0.3076923077 = 4.0267029493 x = 4.0267029493 Simplifying x = 4.0267029493Subproblem 2
x + 0.3076923077 = -4.334395257 Simplifying x + 0.3076923077 = -4.334395257 Reorder the terms: 0.3076923077 + x = -4.334395257 Solving 0.3076923077 + x = -4.334395257 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3076923077' to each side of the equation. 0.3076923077 + -0.3076923077 + x = -4.334395257 + -0.3076923077 Combine like terms: 0.3076923077 + -0.3076923077 = 0.0000000000 0.0000000000 + x = -4.334395257 + -0.3076923077 x = -4.334395257 + -0.3076923077 Combine like terms: -4.334395257 + -0.3076923077 = -4.6420875647 x = -4.6420875647 Simplifying x = -4.6420875647Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.0267029493, -4.6420875647}
| 7a-11+3=2a | | 3a-5=13 | | 3b-4=22-b | | 3d-4=d-17 | | 4x+29=11x-41 | | 121-2x=5x+16 | | 13x^2+8x-243=0 | | 8y-6=5y+30 | | 4(x+2)=4x+7 | | 5m=2m-24 | | 0.23x+0.16y=14 | | 171-3x=24x+21 | | 0.08x-0.01y=2.9 | | 10-9x=130-37x | | 3x+39=7(7x-1) | | -8x+4y=36 | | -8+4y=36 | | 3x+8x=4(1+6x) | | 7x+8-9x=14-19x+17x-6 | | 4x+6=8x-1 | | 6x-40=3x | | -4b-36=-4(-3+7b) | | 110-(6x+10)=6(x+8)+x | | 7x-2+2x=4x-3+x | | 2(10+x)=80 | | 32k-26k+k= | | -6r+2(7r+8)=16+7r | | 5x+5=14x-22 | | 5x-1-2x=4 | | 20x+10=14x-22 | | 4m-8=2m | | 2(x-2)-(x-1)=2x-2 |