If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 13x + -9 = 0 Reorder the terms: -9 + 13x + 2x2 = 0 Solving -9 + 13x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -4.5 + 6.5x + x2 = 0 Move the constant term to the right: Add '4.5' to each side of the equation. -4.5 + 6.5x + 4.5 + x2 = 0 + 4.5 Reorder the terms: -4.5 + 4.5 + 6.5x + x2 = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 6.5x + x2 = 0 + 4.5 6.5x + x2 = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 6.5x + x2 = 4.5 The x term is 6.5x. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5x + 10.5625 + x2 = 4.5 + 10.5625 Reorder the terms: 10.5625 + 6.5x + x2 = 4.5 + 10.5625 Combine like terms: 4.5 + 10.5625 = 15.0625 10.5625 + 6.5x + x2 = 15.0625 Factor a perfect square on the left side: (x + 3.25)(x + 3.25) = 15.0625 Calculate the square root of the right side: 3.881043674 Break this problem into two subproblems by setting (x + 3.25) equal to 3.881043674 and -3.881043674.Subproblem 1
x + 3.25 = 3.881043674 Simplifying x + 3.25 = 3.881043674 Reorder the terms: 3.25 + x = 3.881043674 Solving 3.25 + x = 3.881043674 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.25' to each side of the equation. 3.25 + -3.25 + x = 3.881043674 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + x = 3.881043674 + -3.25 x = 3.881043674 + -3.25 Combine like terms: 3.881043674 + -3.25 = 0.631043674 x = 0.631043674 Simplifying x = 0.631043674Subproblem 2
x + 3.25 = -3.881043674 Simplifying x + 3.25 = -3.881043674 Reorder the terms: 3.25 + x = -3.881043674 Solving 3.25 + x = -3.881043674 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.25' to each side of the equation. 3.25 + -3.25 + x = -3.881043674 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + x = -3.881043674 + -3.25 x = -3.881043674 + -3.25 Combine like terms: -3.881043674 + -3.25 = -7.131043674 x = -7.131043674 Simplifying x = -7.131043674Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.631043674, -7.131043674}
| y=200+0.5y+100 | | v-6.8=-8.4 | | (2-i)x=2+i | | x-2.5x+6+1.8x=1.8x-2.5x+6.5 | | 8z^2-46z+63=0 | | .66666666666666666666666666(x+5)=.25(5x-3) | | -8x+12y-4=0 | | -5b=-6b-3 | | .15(x-2)=12 | | 2(2y+3)=27+y | | x-50-50-50=-11 | | 3(d+6)=d-24 | | 3n^2-2n-133=0 | | 5=w-3 | | -3m^2=0 | | x-12.23=.2x | | 30+x(14)=196 | | -6+3w=-3 | | -22=-2+4x | | -9x+81x=0 | | 4v^2-3v-115=0 | | (4c-20)/4-6*(c-1) | | (2x-6)(8x+5)=0 | | 4*3+6*5-6*2x=6 | | y=1/3x=-18 | | 3y-1/3=10 | | 7(3+5x)=9x-5(x-2) | | 8x-12=5x+27 | | (Cos^2)x/(cosx) | | 5x-1=2y+1 | | 4y+18=4 | | 45y+5=90+45y+5-45 |