If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4.9x2 + -12.5x + -45 = 0 Reorder the terms: -45 + -12.5x + 4.9x2 = 0 Solving -45 + -12.5x + 4.9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. -9.183673469 + -2.551020408x + x2 = 0 Move the constant term to the right: Add '9.183673469' to each side of the equation. -9.183673469 + -2.551020408x + 9.183673469 + x2 = 0 + 9.183673469 Reorder the terms: -9.183673469 + 9.183673469 + -2.551020408x + x2 = 0 + 9.183673469 Combine like terms: -9.183673469 + 9.183673469 = 0.000000000 0.000000000 + -2.551020408x + x2 = 0 + 9.183673469 -2.551020408x + x2 = 0 + 9.183673469 Combine like terms: 0 + 9.183673469 = 9.183673469 -2.551020408x + x2 = 9.183673469 The x term is -2.551020408x. Take half its coefficient (-1.275510204). Square it (1.626926281) and add it to both sides. Add '1.626926281' to each side of the equation. -2.551020408x + 1.626926281 + x2 = 9.183673469 + 1.626926281 Reorder the terms: 1.626926281 + -2.551020408x + x2 = 9.183673469 + 1.626926281 Combine like terms: 9.183673469 + 1.626926281 = 10.81059975 1.626926281 + -2.551020408x + x2 = 10.81059975 Factor a perfect square on the left side: (x + -1.275510204)(x + -1.275510204) = 10.81059975 Calculate the square root of the right side: 3.28794765 Break this problem into two subproblems by setting (x + -1.275510204) equal to 3.28794765 and -3.28794765.Subproblem 1
x + -1.275510204 = 3.28794765 Simplifying x + -1.275510204 = 3.28794765 Reorder the terms: -1.275510204 + x = 3.28794765 Solving -1.275510204 + x = 3.28794765 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.275510204' to each side of the equation. -1.275510204 + 1.275510204 + x = 3.28794765 + 1.275510204 Combine like terms: -1.275510204 + 1.275510204 = 0.000000000 0.000000000 + x = 3.28794765 + 1.275510204 x = 3.28794765 + 1.275510204 Combine like terms: 3.28794765 + 1.275510204 = 4.563457854 x = 4.563457854 Simplifying x = 4.563457854Subproblem 2
x + -1.275510204 = -3.28794765 Simplifying x + -1.275510204 = -3.28794765 Reorder the terms: -1.275510204 + x = -3.28794765 Solving -1.275510204 + x = -3.28794765 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.275510204' to each side of the equation. -1.275510204 + 1.275510204 + x = -3.28794765 + 1.275510204 Combine like terms: -1.275510204 + 1.275510204 = 0.000000000 0.000000000 + x = -3.28794765 + 1.275510204 x = -3.28794765 + 1.275510204 Combine like terms: -3.28794765 + 1.275510204 = -2.012437446 x = -2.012437446 Simplifying x = -2.012437446Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.563457854, -2.012437446}
| 49x^2-12.5x-45=0 | | 2/4*3/3 | | 46214/2=6x | | 46214/2=x6 | | 2m+7a=10 | | 3X+4i=12+8Yi | | 3X+4I=12+8UI | | 3x^2+-9x+-45=0 | | 552/3=x3 | | 4y-2y+15=4+6y+3 | | -0.2x^2+90x-2000=0 | | x3=128/2 | | x=212-32/1.8 | | 9+6-8x-3=5-9x | | 49x^2-125x-450=0 | | 134+223= | | 5x-2+x=6x+18-4x | | 6-2x+6=3x+4 | | 3x+2x-1=9x+4 | | 9+3k=5K-1+4k-2 | | 5(y-2)=2y-22 | | -7n+16=-5n-12 | | -2y-8=5y+27 | | x^2-18x^2+9=0 | | -10(x+4)+54=-1-13 | | 6y-11y=-22-28 | | -49-(-33)=x/5 | | 4(3c-1)-2=9c+6 | | 4(3c-1)-2=2c+6 | | 3t-7=4(t+3) | | -8(t+2)=8 | | x+nx-3n=0 |