If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 23 = 2(x + -3)(x + -3) + 7 Reorder the terms: 23 = 2(-3 + x)(x + -3) + 7 Reorder the terms: 23 = 2(-3 + x)(-3 + x) + 7 Multiply (-3 + x) * (-3 + x) 23 = 2(-3(-3 + x) + x(-3 + x)) + 7 23 = 2((-3 * -3 + x * -3) + x(-3 + x)) + 7 23 = 2((9 + -3x) + x(-3 + x)) + 7 23 = 2(9 + -3x + (-3 * x + x * x)) + 7 23 = 2(9 + -3x + (-3x + x2)) + 7 Combine like terms: -3x + -3x = -6x 23 = 2(9 + -6x + x2) + 7 23 = (9 * 2 + -6x * 2 + x2 * 2) + 7 23 = (18 + -12x + 2x2) + 7 Reorder the terms: 23 = 18 + 7 + -12x + 2x2 Combine like terms: 18 + 7 = 25 23 = 25 + -12x + 2x2 Solving 23 = 25 + -12x + 2x2 Solving for variable 'x'. Combine like terms: 23 + -25 = -2 -2 + 12x + -2x2 = 25 + -12x + 2x2 + -25 + 12x + -2x2 Reorder the terms: -2 + 12x + -2x2 = 25 + -25 + -12x + 12x + 2x2 + -2x2 Combine like terms: 25 + -25 = 0 -2 + 12x + -2x2 = 0 + -12x + 12x + 2x2 + -2x2 -2 + 12x + -2x2 = -12x + 12x + 2x2 + -2x2 Combine like terms: -12x + 12x = 0 -2 + 12x + -2x2 = 0 + 2x2 + -2x2 -2 + 12x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2 + 12x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 6x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 6x + -1x2)' equal to zero and attempt to solve: Simplifying -1 + 6x + -1x2 = 0 Solving -1 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1 + -6x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -6x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -6x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x + x2 = 0 + -1 -6x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -6x + x2 = -1 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -1 + 9 Reorder the terms: 9 + -6x + x2 = -1 + 9 Combine like terms: -1 + 9 = 8 9 + -6x + x2 = 8 Factor a perfect square on the left side: (x + -3)(x + -3) = 8 Calculate the square root of the right side: 2.828427125 Break this problem into two subproblems by setting (x + -3) equal to 2.828427125 and -2.828427125.Subproblem 1
x + -3 = 2.828427125 Simplifying x + -3 = 2.828427125 Reorder the terms: -3 + x = 2.828427125 Solving -3 + x = 2.828427125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 2.828427125 + 3 Combine like terms: -3 + 3 = 0 0 + x = 2.828427125 + 3 x = 2.828427125 + 3 Combine like terms: 2.828427125 + 3 = 5.828427125 x = 5.828427125 Simplifying x = 5.828427125Subproblem 2
x + -3 = -2.828427125 Simplifying x + -3 = -2.828427125 Reorder the terms: -3 + x = -2.828427125 Solving -3 + x = -2.828427125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = -2.828427125 + 3 Combine like terms: -3 + 3 = 0 0 + x = -2.828427125 + 3 x = -2.828427125 + 3 Combine like terms: -2.828427125 + 3 = 0.171572875 x = 0.171572875 Simplifying x = 0.171572875Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.828427125, 0.171572875}Solution
x = {5.828427125, 0.171572875}
| -8x-184=2x+66 | | 7m-2=10m-4 | | -94-3x=8x+49 | | -4x+7x=44 | | 11x-129=3x+47 | | -5x-48=6x+84 | | 9x^264=0 | | 9x-61=4x+39 | | 6+7x=-4 | | 3(2x-1)+4(x+1)=21 | | y=x^3sec*x | | -30+x=x-30 | | 5(6z-1)-4(z+4)=22(z+1) | | 7x-9=-3 | | 10x-(4x-3)=4x+11 | | y=x^3*secx | | 4xy+3x-2xy= | | x+2x+(2x+2000)=63500 | | Y=(X^2-X+7)(X^3+X) | | 345x-6778=568 | | 4x-3=7x-9 | | x^2-9x-99=5 | | x-9x-99=5 | | 25x^2=900 | | y+20=3y-14 | | 4+m=16-3m | | x^2-7x+10=10 | | x^2-77x+10=10 | | 57=3x+8 | | 5*4t= | | 2x(30x^2-2)=1 | | 2x(30x^2-2)=2 |