If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 11x(19 + -1x) + 13x = 209 (19 * 11x + -1x * 11x) + 13x = 209 (209x + -11x2) + 13x = 209 Reorder the terms: 209x + 13x + -11x2 = 209 Combine like terms: 209x + 13x = 222x 222x + -11x2 = 209 Solving 222x + -11x2 = 209 Solving for variable 'x'. Reorder the terms: -209 + 222x + -11x2 = 209 + -209 Combine like terms: 209 + -209 = 0 -209 + 222x + -11x2 = 0 Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. 19 + -20.18181818x + x2 = 0 Move the constant term to the right: Add '-19' to each side of the equation. 19 + -20.18181818x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + -20.18181818x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -20.18181818x + x2 = 0 + -19 -20.18181818x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -20.18181818x + x2 = -19 The x term is -20.18181818x. Take half its coefficient (-10.09090909). Square it (101.8264463) and add it to both sides. Add '101.8264463' to each side of the equation. -20.18181818x + 101.8264463 + x2 = -19 + 101.8264463 Reorder the terms: 101.8264463 + -20.18181818x + x2 = -19 + 101.8264463 Combine like terms: -19 + 101.8264463 = 82.8264463 101.8264463 + -20.18181818x + x2 = 82.8264463 Factor a perfect square on the left side: (x + -10.09090909)(x + -10.09090909) = 82.8264463 Calculate the square root of the right side: 9.100903598 Break this problem into two subproblems by setting (x + -10.09090909) equal to 9.100903598 and -9.100903598.Subproblem 1
x + -10.09090909 = 9.100903598 Simplifying x + -10.09090909 = 9.100903598 Reorder the terms: -10.09090909 + x = 9.100903598 Solving -10.09090909 + x = 9.100903598 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.09090909' to each side of the equation. -10.09090909 + 10.09090909 + x = 9.100903598 + 10.09090909 Combine like terms: -10.09090909 + 10.09090909 = 0.00000000 0.00000000 + x = 9.100903598 + 10.09090909 x = 9.100903598 + 10.09090909 Combine like terms: 9.100903598 + 10.09090909 = 19.191812688 x = 19.191812688 Simplifying x = 19.191812688Subproblem 2
x + -10.09090909 = -9.100903598 Simplifying x + -10.09090909 = -9.100903598 Reorder the terms: -10.09090909 + x = -9.100903598 Solving -10.09090909 + x = -9.100903598 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.09090909' to each side of the equation. -10.09090909 + 10.09090909 + x = -9.100903598 + 10.09090909 Combine like terms: -10.09090909 + 10.09090909 = 0.00000000 0.00000000 + x = -9.100903598 + 10.09090909 x = -9.100903598 + 10.09090909 Combine like terms: -9.100903598 + 10.09090909 = 0.990005492 x = 0.990005492 Simplifying x = 0.990005492Solution
The solution to the problem is based on the solutions from the subproblems. x = {19.191812688, 0.990005492}
| 10ab^2+5b=0 | | (2x+8)/3-4=-2 | | 5x-2y+6=0 | | x(2x+4)-4x=32 | | 4z+3=90 | | 3.6z+8=2z | | 3x^7-6x^5-12x^3=0 | | 11x+13x(19-x)=209 | | 11x+4=6x+4 | | 5-x=5x+11 | | 3x-2/9+x=3x+2/3+1 | | (64-x^2)/(x^2+8x)=1 | | g-1.9=10 | | 1/4(4x-7)=x+7/8 | | 9+4a=180 | | 9+4a=90 | | 8x+9=12+11x | | 3(j-2k)=27 | | 4+7a=90 | | 50+60+x=180 | | -3x-5=-(2x+2) | | -7=-5/6x+3+7/6x | | -2(5)=x | | -36-154=x | | 2x-5+3x-10=90 | | -11a-13+7a-3b= | | (v-2)/(v^2-4) | | 16a-56=8 | | -3x-5=2x+2 | | 28a+14=42 | | -4=-5u | | 3x+4X+x=180 |