If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9x2 + -42x + 49 = 5 Reorder the terms: 49 + -42x + 9x2 = 5 Solving 49 + -42x + 9x2 = 5 Solving for variable 'x'. Reorder the terms: 49 + -5 + -42x + 9x2 = 5 + -5 Combine like terms: 49 + -5 = 44 44 + -42x + 9x2 = 5 + -5 Combine like terms: 5 + -5 = 0 44 + -42x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4.888888889 + -4.666666667x + x2 = 0 Move the constant term to the right: Add '-4.888888889' to each side of the equation. 4.888888889 + -4.666666667x + -4.888888889 + x2 = 0 + -4.888888889 Reorder the terms: 4.888888889 + -4.888888889 + -4.666666667x + x2 = 0 + -4.888888889 Combine like terms: 4.888888889 + -4.888888889 = 0.000000000 0.000000000 + -4.666666667x + x2 = 0 + -4.888888889 -4.666666667x + x2 = 0 + -4.888888889 Combine like terms: 0 + -4.888888889 = -4.888888889 -4.666666667x + x2 = -4.888888889 The x term is -4.666666667x. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667x + 5.444444448 + x2 = -4.888888889 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667x + x2 = -4.888888889 + 5.444444448 Combine like terms: -4.888888889 + 5.444444448 = 0.555555559 5.444444448 + -4.666666667x + x2 = 0.555555559 Factor a perfect square on the left side: (x + -2.333333334)(x + -2.333333334) = 0.555555559 Calculate the square root of the right side: 0.745355995 Break this problem into two subproblems by setting (x + -2.333333334) equal to 0.745355995 and -0.745355995.Subproblem 1
x + -2.333333334 = 0.745355995 Simplifying x + -2.333333334 = 0.745355995 Reorder the terms: -2.333333334 + x = 0.745355995 Solving -2.333333334 + x = 0.745355995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.333333334' to each side of the equation. -2.333333334 + 2.333333334 + x = 0.745355995 + 2.333333334 Combine like terms: -2.333333334 + 2.333333334 = 0.000000000 0.000000000 + x = 0.745355995 + 2.333333334 x = 0.745355995 + 2.333333334 Combine like terms: 0.745355995 + 2.333333334 = 3.078689329 x = 3.078689329 Simplifying x = 3.078689329Subproblem 2
x + -2.333333334 = -0.745355995 Simplifying x + -2.333333334 = -0.745355995 Reorder the terms: -2.333333334 + x = -0.745355995 Solving -2.333333334 + x = -0.745355995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.333333334' to each side of the equation. -2.333333334 + 2.333333334 + x = -0.745355995 + 2.333333334 Combine like terms: -2.333333334 + 2.333333334 = 0.000000000 0.000000000 + x = -0.745355995 + 2.333333334 x = -0.745355995 + 2.333333334 Combine like terms: -0.745355995 + 2.333333334 = 1.587977339 x = 1.587977339 Simplifying x = 1.587977339Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.078689329, 1.587977339}
| 4v^2+6=11v | | 3x-10=7x-10 | | 5c-6-7c=2 | | X^2-8x=-17 | | 9x^4+45x^2= | | 9h-2=19+2h | | 4x=2(x+2)-12 | | 120=.5(200-x) | | -130=-13p | | 7+4x=-3x-7 | | -(4y+3)-(-3y-7)=-3 | | 5y^2-4y+5=0 | | 3(h+1)=2h+7 | | 5(t-6)+3t=4(2t+5)-12 | | 40x+5(1.5x)=665 | | x^2+3r-8=0 | | 9=12-3(x) | | -2p+7=5-(10p+7) | | 22=m-37 | | 6y-3=3y | | -10-3x=5x-90 | | -27=x-19 | | 16+5a=3a | | 2u^2-17u+30=0 | | -9+3m=1+5m | | 7x^2+5=159 | | 16+5a=3y | | -7m+8=-16-4m | | 8n-2(n-3)=12 | | 12x+10=10x | | -(8y+1)-(-7y-5)=3 | | x+0.13x=37300 |