If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 108 = 2x2 + 14x + 56 Reorder the terms: 108 = 56 + 14x + 2x2 Solving 108 = 56 + 14x + 2x2 Solving for variable 'x'. Combine like terms: 108 + -56 = 52 52 + -14x + -2x2 = 56 + 14x + 2x2 + -56 + -14x + -2x2 Reorder the terms: 52 + -14x + -2x2 = 56 + -56 + 14x + -14x + 2x2 + -2x2 Combine like terms: 56 + -56 = 0 52 + -14x + -2x2 = 0 + 14x + -14x + 2x2 + -2x2 52 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2 Combine like terms: 14x + -14x = 0 52 + -14x + -2x2 = 0 + 2x2 + -2x2 52 + -14x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 52 + -14x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(26 + -7x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(26 + -7x + -1x2)' equal to zero and attempt to solve: Simplifying 26 + -7x + -1x2 = 0 Solving 26 + -7x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -26 + 7x + x2 = 0 Move the constant term to the right: Add '26' to each side of the equation. -26 + 7x + 26 + x2 = 0 + 26 Reorder the terms: -26 + 26 + 7x + x2 = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 7x + x2 = 0 + 26 7x + x2 = 0 + 26 Combine like terms: 0 + 26 = 26 7x + x2 = 26 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = 26 + 12.25 Reorder the terms: 12.25 + 7x + x2 = 26 + 12.25 Combine like terms: 26 + 12.25 = 38.25 12.25 + 7x + x2 = 38.25 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = 38.25 Calculate the square root of the right side: 6.184658438 Break this problem into two subproblems by setting (x + 3.5) equal to 6.184658438 and -6.184658438.Subproblem 1
x + 3.5 = 6.184658438 Simplifying x + 3.5 = 6.184658438 Reorder the terms: 3.5 + x = 6.184658438 Solving 3.5 + x = 6.184658438 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 6.184658438 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 6.184658438 + -3.5 x = 6.184658438 + -3.5 Combine like terms: 6.184658438 + -3.5 = 2.684658438 x = 2.684658438 Simplifying x = 2.684658438Subproblem 2
x + 3.5 = -6.184658438 Simplifying x + 3.5 = -6.184658438 Reorder the terms: 3.5 + x = -6.184658438 Solving 3.5 + x = -6.184658438 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -6.184658438 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -6.184658438 + -3.5 x = -6.184658438 + -3.5 Combine like terms: -6.184658438 + -3.5 = -9.684658438 x = -9.684658438 Simplifying x = -9.684658438Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.684658438, -9.684658438}Solution
x = {2.684658438, -9.684658438}
| -25=25n | | cos(x)=-5*x | | X+42+3x-20=5x | | 8x-5x(x-1)=20 | | 4t+6t-2= | | 15+2x=7x-1-4 | | 2(y-4)=32 | | 9+3.5=11-3.5 | | 10x-2xy+4y=20 | | (3x+7)-(2x+5)= | | 7(b-2)=-19+6b | | 3x^2-54x-57=0 | | 8x+5+x=9x+7 | | 5(x+9)=5x+4 | | f-r=6f+26 | | 3/7g=8/11 | | 4+zy+3= | | z+15=22 | | 0.80(x-100)=97.93 | | Z/2-z/3 | | 3(-4)-4y=18 | | 0=-16t^2+140t+3 | | z/14=1 | | 8+18w=-44 | | y-19=-12 | | 9/12*1/2= | | 6x-4(-2x+9)=132 | | (7/4)11 | | 2n-(-25)=27n | | -5.5(4s+6)-2.2(2s-5)= | | 16-2x=-4x | | 4x+18=110 |