If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 8x = 270 Reorder the terms: 8x + 3x2 = 270 Solving 8x + 3x2 = 270 Solving for variable 'x'. Reorder the terms: -270 + 8x + 3x2 = 270 + -270 Combine like terms: 270 + -270 = 0 -270 + 8x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -90 + 2.666666667x + x2 = 0 Move the constant term to the right: Add '90' to each side of the equation. -90 + 2.666666667x + 90 + x2 = 0 + 90 Reorder the terms: -90 + 90 + 2.666666667x + x2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 2.666666667x + x2 = 0 + 90 2.666666667x + x2 = 0 + 90 Combine like terms: 0 + 90 = 90 2.666666667x + x2 = 90 The x term is 2.666666667x. Take half its coefficient (1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. 2.666666667x + 1.777777780 + x2 = 90 + 1.777777780 Reorder the terms: 1.777777780 + 2.666666667x + x2 = 90 + 1.777777780 Combine like terms: 90 + 1.777777780 = 91.77777778 1.777777780 + 2.666666667x + x2 = 91.77777778 Factor a perfect square on the left side: (x + 1.333333334)(x + 1.333333334) = 91.77777778 Calculate the square root of the right side: 9.580071909 Break this problem into two subproblems by setting (x + 1.333333334) equal to 9.580071909 and -9.580071909.Subproblem 1
x + 1.333333334 = 9.580071909 Simplifying x + 1.333333334 = 9.580071909 Reorder the terms: 1.333333334 + x = 9.580071909 Solving 1.333333334 + x = 9.580071909 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.333333334' to each side of the equation. 1.333333334 + -1.333333334 + x = 9.580071909 + -1.333333334 Combine like terms: 1.333333334 + -1.333333334 = 0.000000000 0.000000000 + x = 9.580071909 + -1.333333334 x = 9.580071909 + -1.333333334 Combine like terms: 9.580071909 + -1.333333334 = 8.246738575 x = 8.246738575 Simplifying x = 8.246738575Subproblem 2
x + 1.333333334 = -9.580071909 Simplifying x + 1.333333334 = -9.580071909 Reorder the terms: 1.333333334 + x = -9.580071909 Solving 1.333333334 + x = -9.580071909 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.333333334' to each side of the equation. 1.333333334 + -1.333333334 + x = -9.580071909 + -1.333333334 Combine like terms: 1.333333334 + -1.333333334 = 0.000000000 0.000000000 + x = -9.580071909 + -1.333333334 x = -9.580071909 + -1.333333334 Combine like terms: -9.580071909 + -1.333333334 = -10.913405243 x = -10.913405243 Simplifying x = -10.913405243Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.246738575, -10.913405243}
| 24b^2+8b+40= | | 45z+270=75z-150 | | 7(5x-x)=7(x-11) | | 10x-44=8 | | 1n-8+3n=-4 | | -2/5x-9=-9 | | 24b^2+8b+40=0 | | 10(s-10)=-131 | | ((X^10)(y^4))/((x^3)(y))= | | 4x+6=42-14x | | 16y^2-44y+52=0 | | 3w=-99 | | 0.20x+0.35(70)=41.5 | | 6y=1-y | | y=0.18x+320.22 | | 41,840=n*6.5*4.184 | | 4x^2+5x=480 | | -3/8a=-6 | | (X^10y^4)/(x^3y)= | | -3=-3+(2t-1) | | 3x+(x-2)=6 | | -3-8x+17=-2(4x-7) | | 2.5n+5.2=35.2 | | 12-(-x)=-9 | | 5ed= | | X^10y^4/x^3y= | | 6f+24-7f= | | x-8/x=-7 | | 3/10*x=1 | | 8m+9=13 | | 560=200+45b | | 4t-5t+1-2t= |