If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x2 + 12x + -53 = 0 Reorder the terms: -53 + 12x + 12x2 = 0 Solving -53 + 12x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -4.416666667 + x + x2 = 0 Move the constant term to the right: Add '4.416666667' to each side of the equation. -4.416666667 + x + 4.416666667 + x2 = 0 + 4.416666667 Reorder the terms: -4.416666667 + 4.416666667 + x + x2 = 0 + 4.416666667 Combine like terms: -4.416666667 + 4.416666667 = 0.000000000 0.000000000 + x + x2 = 0 + 4.416666667 x + x2 = 0 + 4.416666667 Combine like terms: 0 + 4.416666667 = 4.416666667 x + x2 = 4.416666667 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. + 0.25 + x2 = 4.416666667 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 4.416666667 + 0.25 Combine like terms: 4.416666667 + 0.25 = 4.666666667 1.25 + x2 = 4.666666667 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 4.666666667 Calculate the square root of the right side: 2.1602469 Break this problem into two subproblems by setting (x + 0.5) equal to 2.1602469 and -2.1602469.Subproblem 1
x + 0.5 = 2.1602469 Simplifying x + 0.5 = 2.1602469 Reorder the terms: 0.5 + x = 2.1602469 Solving 0.5 + x = 2.1602469 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 = 2.1602469 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 2.1602469 + -0.5 x = 2.1602469 + -0.5 Combine like terms: 2.1602469 + -0.5 = 1.6602469 x = 1.6602469 Simplifying x = 1.6602469Subproblem 2
x + 0.5 = -2.1602469 Simplifying x + 0.5 = -2.1602469 Reorder the terms: 0.5 + x = -2.1602469 Solving 0.5 + x = -2.1602469 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 = -2.1602469 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -2.1602469 + -0.5 x = -2.1602469 + -0.5 Combine like terms: -2.1602469 + -0.5 = -2.6602469 x = -2.6602469 Simplifying x = -2.6602469Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.6602469, -2.6602469}
| 6x+8=-3 | | -189=343k | | 2x+6=3x+20 | | -5t-(3t-4)=-28 | | 21b+4= | | 3x+10=73 | | 4+x=4+x | | y=(x-6+3i)(x-6-3i) | | 22/11=7/x | | 2x+2=12+3 | | 4(x-1)=1-2(x-8) | | 1.24/3=y/15 | | 11x-2/7-10x | | 4/3(2x-3)=-12 | | y=2+8x-5x^2 | | x^4+8x^2+4x+16=0 | | 2(3t+3)-1=7 | | 8+3y=5-3y | | Y=2(3x-12) | | 18x-15y=75 | | 7(t-3)+5t=4(3t+4)-13 | | 3x+7=5x+2(3-2x)+1 | | 2.5(x+5)-4=-1.5 | | y=(x-6-5i)(x-6+5i) | | 55/200=143/n | | 1/8-7/12(15) | | 3(p-5)=-10+p | | -5(x-2)=-6x+7 | | -4(x-1)-6x=84 | | 5x^2+5x+218=0 | | -4.9x^2=0.12 | | 4-1/8 |