If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8x2 + -7 + -11x2 + 10 + 3x = 0 Reorder the terms: -7 + 10 + 3x + 8x2 + -11x2 = 0 Combine like terms: -7 + 10 = 3 3 + 3x + 8x2 + -11x2 = 0 Combine like terms: 8x2 + -11x2 = -3x2 3 + 3x + -3x2 = 0 Solving 3 + 3x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + x + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + x + -1x2)' equal to zero and attempt to solve: Simplifying 1 + x + -1x2 = 0 Solving 1 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -1 + -1x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -1x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -1x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + x2 = 0 + 1 -1x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x + x2 = 1 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = 1 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + -1x + x2 = 1.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + 0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
x + 0.5 = 1.118033989 Simplifying x + 0.5 = 1.118033989 Reorder the terms: 0.5 + x = 1.118033989 Solving 0.5 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.118033989 + -0.5 x = 1.118033989 + -0.5 Combine like terms: 1.118033989 + -0.5 = 0.618033989 x = 0.618033989 Simplifying x = 0.618033989Subproblem 2
x + 0.5 = -1.118033989 Simplifying x + 0.5 = -1.118033989 Reorder the terms: 0.5 + x = -1.118033989 Solving 0.5 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.118033989 + -0.5 x = -1.118033989 + -0.5 Combine like terms: -1.118033989 + -0.5 = -1.618033989 x = -1.618033989 Simplifying x = -1.618033989Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.618033989, -1.618033989}Solution
x = {0.618033989, -1.618033989}
| 1/6v-5/3=1 | | 7-3(x+2)=2(x-4) | | 15=z+12 | | 30c^2+c-20=0 | | 1/10p-4/5=2 | | 42+n=51 | | n-(4n/6) | | -17=-5(4x-4)+2x-1 | | |t/2|=6 | | 3b^3*b=0 | | -8x^2-9x-7x^2+4+14x= | | -12+1-5m+7m=1-m | | ln(2x^2+1)-3ln(x)=ln(3) | | .6(15x+20)-.16(18x-12)=38 | | 6y-6x=5 | | -4(-4n+2)=-5[4n-2(n-2)] | | -6(-6n+2)=-228 | | 5-6(4x+9)=8 | | 3n^2*2n=0 | | 3x+6=-2x+-8 | | 24=15y-9 | | -5-5p=5(-7p-1) | | 4(-3y+4)=-5[4y-5(-y+10)] | | 72=180-22 | | 2x+2x+8=-12 | | 2n/3 | | x+(x+2)=104 | | 2x^2*2x^3=0 | | 6[6-(-3x-4)]=162x+252 | | -3-3x=33 | | -6=x-1+2(2x+5) | | 3n/2 |