If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3 + -1x)(x + -2) + -1(x + -1)(x + 2) = 2(x + 2)(x + -2) Reorder the terms: (3 + -1x)(-2 + x) + -1(x + -1)(x + 2) = 2(x + 2)(x + -2) Multiply (3 + -1x) * (-2 + x) (3(-2 + x) + -1x * (-2 + x)) + -1(x + -1)(x + 2) = 2(x + 2)(x + -2) ((-2 * 3 + x * 3) + -1x * (-2 + x)) + -1(x + -1)(x + 2) = 2(x + 2)(x + -2) ((-6 + 3x) + -1x * (-2 + x)) + -1(x + -1)(x + 2) = 2(x + 2)(x + -2) (-6 + 3x + (-2 * -1x + x * -1x)) + -1(x + -1)(x + 2) = 2(x + 2)(x + -2) (-6 + 3x + (2x + -1x2)) + -1(x + -1)(x + 2) = 2(x + 2)(x + -2) Combine like terms: 3x + 2x = 5x (-6 + 5x + -1x2) + -1(x + -1)(x + 2) = 2(x + 2)(x + -2) Reorder the terms: -6 + 5x + -1x2 + -1(-1 + x)(x + 2) = 2(x + 2)(x + -2) Reorder the terms: -6 + 5x + -1x2 + -1(-1 + x)(2 + x) = 2(x + 2)(x + -2) Multiply (-1 + x) * (2 + x) -6 + 5x + -1x2 + -1(-1(2 + x) + x(2 + x)) = 2(x + 2)(x + -2) -6 + 5x + -1x2 + -1((2 * -1 + x * -1) + x(2 + x)) = 2(x + 2)(x + -2) -6 + 5x + -1x2 + -1((-2 + -1x) + x(2 + x)) = 2(x + 2)(x + -2) -6 + 5x + -1x2 + -1(-2 + -1x + (2 * x + x * x)) = 2(x + 2)(x + -2) -6 + 5x + -1x2 + -1(-2 + -1x + (2x + x2)) = 2(x + 2)(x + -2) Combine like terms: -1x + 2x = 1x -6 + 5x + -1x2 + -1(-2 + 1x + x2) = 2(x + 2)(x + -2) -6 + 5x + -1x2 + (-2 * -1 + 1x * -1 + x2 * -1) = 2(x + 2)(x + -2) -6 + 5x + -1x2 + (2 + -1x + -1x2) = 2(x + 2)(x + -2) Reorder the terms: -6 + 2 + 5x + -1x + -1x2 + -1x2 = 2(x + 2)(x + -2) Combine like terms: -6 + 2 = -4 -4 + 5x + -1x + -1x2 + -1x2 = 2(x + 2)(x + -2) Combine like terms: 5x + -1x = 4x -4 + 4x + -1x2 + -1x2 = 2(x + 2)(x + -2) Combine like terms: -1x2 + -1x2 = -2x2 -4 + 4x + -2x2 = 2(x + 2)(x + -2) Reorder the terms: -4 + 4x + -2x2 = 2(2 + x)(x + -2) Reorder the terms: -4 + 4x + -2x2 = 2(2 + x)(-2 + x) Multiply (2 + x) * (-2 + x) -4 + 4x + -2x2 = 2(2(-2 + x) + x(-2 + x)) -4 + 4x + -2x2 = 2((-2 * 2 + x * 2) + x(-2 + x)) -4 + 4x + -2x2 = 2((-4 + 2x) + x(-2 + x)) -4 + 4x + -2x2 = 2(-4 + 2x + (-2 * x + x * x)) -4 + 4x + -2x2 = 2(-4 + 2x + (-2x + x2)) Combine like terms: 2x + -2x = 0 -4 + 4x + -2x2 = 2(-4 + 0 + x2) -4 + 4x + -2x2 = 2(-4 + x2) -4 + 4x + -2x2 = (-4 * 2 + x2 * 2) -4 + 4x + -2x2 = (-8 + 2x2) Solving -4 + 4x + -2x2 = -8 + 2x2 Solving for variable 'x'. Reorder the terms: -4 + 8 + 4x + -2x2 + -2x2 = -8 + 2x2 + 8 + -2x2 Combine like terms: -4 + 8 = 4 4 + 4x + -2x2 + -2x2 = -8 + 2x2 + 8 + -2x2 Combine like terms: -2x2 + -2x2 = -4x2 4 + 4x + -4x2 = -8 + 2x2 + 8 + -2x2 Reorder the terms: 4 + 4x + -4x2 = -8 + 8 + 2x2 + -2x2 Combine like terms: -8 + 8 = 0 4 + 4x + -4x2 = 0 + 2x2 + -2x2 4 + 4x + -4x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4 + 4x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + x + -1x2) = 0 Ignore the factor 4.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}
| 6n-5n-n+2n=12 | | x^2-100=x-10(x) | | 13p+p-13p-p+p-1=16 | | .3(4p-6)-.7p=9.8 | | -108+96t-16t^2=0 | | 6v-(-3v)+-14=45 | | .5(.75k-6)=.625(k+4)-.25k | | 2r-r-1=32 | | 12y-7y-5y+5y=10 | | 3(2x-1)-7=33-4x | | 19=-3(x-7) | | -12n-(-9n)-13n+20n-(-5n)=-18 | | 10x^2-7=993 | | 3(2v-5)+3(v-5)-2(3v-1)=-25 | | 3x+15=(X+1)(X-1) | | 40/70 | | Ln(3x+7)=8 | | 3x+15=(X+1)(2x) | | 9+v=4 | | -33k+3k^2+72=0 | | 3(x+1)=-8 | | -x+17=x-y-8 | | 4+7lnx=1 | | (x+5)(-2+3)=y | | 47r+10r-52r-4r=27 | | 5v^2-1=-100 | | 2(x-3)=5-4(x-7) | | 2x+8=-4x+13 | | a+a-2a+4a-3a+2=17 | | 7b*2b= | | 5(c+2)=3(a+1)-5 | | 3b+7b-6=0 |