If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x2 + -10x = x2 + 2 Reorder the terms: -10x + 5x2 = x2 + 2 Reorder the terms: -10x + 5x2 = 2 + x2 Solving -10x + 5x2 = 2 + x2 Solving for variable 'x'. Reorder the terms: -2 + -10x + 5x2 + -1x2 = 2 + x2 + -2 + -1x2 Combine like terms: 5x2 + -1x2 = 4x2 -2 + -10x + 4x2 = 2 + x2 + -2 + -1x2 Reorder the terms: -2 + -10x + 4x2 = 2 + -2 + x2 + -1x2 Combine like terms: 2 + -2 = 0 -2 + -10x + 4x2 = 0 + x2 + -1x2 -2 + -10x + 4x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + -10x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -5x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -5x + 2x2)' equal to zero and attempt to solve: Simplifying -1 + -5x + 2x2 = 0 Solving -1 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + -2.5x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + -2.5x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + -2.5x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -2.5x + x2 = 0 + 0.5 -2.5x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -2.5x + x2 = 0.5 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = 0.5 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = 0.5 + 1.5625 Combine like terms: 0.5 + 1.5625 = 2.0625 1.5625 + -2.5x + x2 = 2.0625 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = 2.0625 Calculate the square root of the right side: 1.436140662 Break this problem into two subproblems by setting (x + -1.25) equal to 1.436140662 and -1.436140662.Subproblem 1
x + -1.25 = 1.436140662 Simplifying x + -1.25 = 1.436140662 Reorder the terms: -1.25 + x = 1.436140662 Solving -1.25 + x = 1.436140662 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = 1.436140662 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = 1.436140662 + 1.25 x = 1.436140662 + 1.25 Combine like terms: 1.436140662 + 1.25 = 2.686140662 x = 2.686140662 Simplifying x = 2.686140662Subproblem 2
x + -1.25 = -1.436140662 Simplifying x + -1.25 = -1.436140662 Reorder the terms: -1.25 + x = -1.436140662 Solving -1.25 + x = -1.436140662 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = -1.436140662 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = -1.436140662 + 1.25 x = -1.436140662 + 1.25 Combine like terms: -1.436140662 + 1.25 = -0.186140662 x = -0.186140662 Simplifying x = -0.186140662Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.686140662, -0.186140662}Solution
x = {2.686140662, -0.186140662}
| 13-(3x-13)=8 | | 2x^2+2y^2+20x+16y+74=0 | | 3x+7x=-19 | | 14(5+k)=-14 | | 3-6(-8)=-39 | | 2x-1.4y=120 | | X=-2+24i | | 37.31+0.25x=x | | (5x-7)(7x+1)=0 | | -8x+126=-90-16x | | 11n+3=9+5n | | 2.4=.2x+3 | | -10q-12+2=-60 | | x+23+57=180 | | 0.75x+4=22 | | x(8x+23)+15=0 | | 3x-4(x+3)=-20-3x | | 7(50)+12x=1214 | | 6x-15=4x-3 | | 2x+(15-10)=30-5 | | 3-6(3)=-39 | | 3x-8=10-6x | | 23=7(4-x)-2 | | x/4-10=7/8 | | log[5]x=50 | | 2x+15-10=30-5 | | 13x-2+65=180 | | 44x+3+77=90 | | 62(3t-8)-4=10 | | 27-12x=-33 | | 3(x-2)+1=2(x-4)+3x | | y/11+2=-17 |