If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 3x(x + 2) + -3 Reorder the terms: 0 = 3x(2 + x) + -3 0 = (2 * 3x + x * 3x) + -3 0 = (6x + 3x2) + -3 Reorder the terms: 0 = -3 + 6x + 3x2 Solving 0 = -3 + 6x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 3 = 3 3 + -6x + -3x2 = -3 + 6x + 3x2 + 3 + -6x + -3x2 Reorder the terms: 3 + -6x + -3x2 = -3 + 3 + 6x + -6x + 3x2 + -3x2 Combine like terms: -3 + 3 = 0 3 + -6x + -3x2 = 0 + 6x + -6x + 3x2 + -3x2 3 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2 Combine like terms: 6x + -6x = 0 3 + -6x + -3x2 = 0 + 3x2 + -3x2 3 + -6x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 3 + -6x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -2x + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -2x + -1x2)' equal to zero and attempt to solve: Simplifying 1 + -2x + -1x2 = 0 Solving 1 + -2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -1 + 2x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 2x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + 2x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + x2 = 0 + 1 2x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2x + x2 = 1 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 1 + 1 Reorder the terms: 1 + 2x + x2 = 1 + 1 Combine like terms: 1 + 1 = 2 1 + 2x + x2 = 2 Factor a perfect square on the left side: (x + 1)(x + 1) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (x + 1) equal to 1.414213562 and -1.414213562.Subproblem 1
x + 1 = 1.414213562 Simplifying x + 1 = 1.414213562 Reorder the terms: 1 + x = 1.414213562 Solving 1 + x = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 1.414213562 + -1 Combine like terms: 1 + -1 = 0 0 + x = 1.414213562 + -1 x = 1.414213562 + -1 Combine like terms: 1.414213562 + -1 = 0.414213562 x = 0.414213562 Simplifying x = 0.414213562Subproblem 2
x + 1 = -1.414213562 Simplifying x + 1 = -1.414213562 Reorder the terms: 1 + x = -1.414213562 Solving 1 + x = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -1.414213562 + -1 Combine like terms: 1 + -1 = 0 0 + x = -1.414213562 + -1 x = -1.414213562 + -1 Combine like terms: -1.414213562 + -1 = -2.414213562 x = -2.414213562 Simplifying x = -2.414213562Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.414213562, -2.414213562}Solution
x = {0.414213562, -2.414213562}
| -2(x+8)=2(x+2) | | -9(3x+6)= | | -4x-5(1-2x)=-5x+1(x-8) | | 20=19+11n | | 5x+yz=10 | | -x^2-12x+11=0 | | 4(x+12)=52 | | (3+y)(5y+6)=0 | | (4x-y)(5)= | | qs-8c+qf-8f= | | -2x^2+6x-4=4.5 | | 12x+10=7x | | -2x^2+6x=1.5 | | 1-6x-6=-11-7x | | 5x-3(x-1)=3 | | -2x^2+6x-4=1.5 | | 0=-5m | | (3r-2)(7)= | | 169s^2+196= | | 4x-3x+2+9=21 | | 3v-3+8v=3(1+8v)+6(-3v-11) | | 2=3sin(8x) | | 5x+15y-10=0 | | -2x+8.5=-9.5 | | N^9=n | | -2(3-y)= | | P=d+R(d) | | 5x-3+6x=12x-13 | | 1.8r+9=-6-5.7r | | P=D+R | | -9(a+1)=12(a+2) | | 4x+3-2(5x-4)=14x+1 |