If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 3x + -28 = 0 Reorder the terms: -28 + 3x + 6x2 = 0 Solving -28 + 3x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -4.666666667 + 0.5x + x2 = 0 Move the constant term to the right: Add '4.666666667' to each side of the equation. -4.666666667 + 0.5x + 4.666666667 + x2 = 0 + 4.666666667 Reorder the terms: -4.666666667 + 4.666666667 + 0.5x + x2 = 0 + 4.666666667 Combine like terms: -4.666666667 + 4.666666667 = 0.000000000 0.000000000 + 0.5x + x2 = 0 + 4.666666667 0.5x + x2 = 0 + 4.666666667 Combine like terms: 0 + 4.666666667 = 4.666666667 0.5x + x2 = 4.666666667 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = 4.666666667 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = 4.666666667 + 0.0625 Combine like terms: 4.666666667 + 0.0625 = 4.729166667 0.0625 + 0.5x + x2 = 4.729166667 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = 4.729166667 Calculate the square root of the right side: 2.174664725 Break this problem into two subproblems by setting (x + 0.25) equal to 2.174664725 and -2.174664725.Subproblem 1
x + 0.25 = 2.174664725 Simplifying x + 0.25 = 2.174664725 Reorder the terms: 0.25 + x = 2.174664725 Solving 0.25 + x = 2.174664725 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = 2.174664725 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = 2.174664725 + -0.25 x = 2.174664725 + -0.25 Combine like terms: 2.174664725 + -0.25 = 1.924664725 x = 1.924664725 Simplifying x = 1.924664725Subproblem 2
x + 0.25 = -2.174664725 Simplifying x + 0.25 = -2.174664725 Reorder the terms: 0.25 + x = -2.174664725 Solving 0.25 + x = -2.174664725 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = -2.174664725 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = -2.174664725 + -0.25 x = -2.174664725 + -0.25 Combine like terms: -2.174664725 + -0.25 = -2.424664725 x = -2.424664725 Simplifying x = -2.424664725Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.924664725, -2.424664725}
| 4(x-5)-5=6x+7.4x | | -35=7z | | 4=-4x^3+12x^2 | | 2x+10=4+5x | | 4x+3(x-1)=7x-3 | | 0.20y-1.6=0.10y+2-0.8y | | X+48+x-44=180 | | 5t-4.905t^2=0 | | -4x-10x=-70 | | 2x*25=20 | | 3y-6x=-9 | | -3.13=1.49z-3.13 | | 2(18+6y)=-36 | | 10=-2b | | 3y-6y=-9 | | -7(4-2k)=-6k+32 | | -6h=-66 | | 3y-y+2y-5=3-x+4x | | 3x-8=-8+7x | | X^2+50x-200=0 | | 25.5+0.1p=0.9p+5.3 | | v+5=-8 | | 5(4-3w)=w+8 | | f(x)=-3.4x^2+26x | | 8+2r=1+-r+-8+-6 | | X+48+x-11=180 | | 3+5x+7=3x+10+2x | | 8y+3=7y-6 | | 8m^2-3m+27=0 | | x^2+14x+52=0 | | xln(x)-30+5ln(x)-6x=0 | | 22b+7-16b=49 |