If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x(x + 7) = -3 Reorder the terms: 2x(7 + x) = -3 (7 * 2x + x * 2x) = -3 (14x + 2x2) = -3 Solving 14x + 2x2 = -3 Solving for variable 'x'. Reorder the terms: 3 + 14x + 2x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 14x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 7x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 7x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 7x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 7x + x2 = 0 + -1.5 7x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 7x + x2 = -1.5 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -1.5 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -1.5 + 12.25 Combine like terms: -1.5 + 12.25 = 10.75 12.25 + 7x + x2 = 10.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = 10.75 Calculate the square root of the right side: 3.278719262 Break this problem into two subproblems by setting (x + 3.5) equal to 3.278719262 and -3.278719262.Subproblem 1
x + 3.5 = 3.278719262 Simplifying x + 3.5 = 3.278719262 Reorder the terms: 3.5 + x = 3.278719262 Solving 3.5 + x = 3.278719262 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 3.278719262 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 3.278719262 + -3.5 x = 3.278719262 + -3.5 Combine like terms: 3.278719262 + -3.5 = -0.221280738 x = -0.221280738 Simplifying x = -0.221280738Subproblem 2
x + 3.5 = -3.278719262 Simplifying x + 3.5 = -3.278719262 Reorder the terms: 3.5 + x = -3.278719262 Solving 3.5 + x = -3.278719262 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -3.278719262 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -3.278719262 + -3.5 x = -3.278719262 + -3.5 Combine like terms: -3.278719262 + -3.5 = -6.778719262 x = -6.778719262 Simplifying x = -6.778719262Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.221280738, -6.778719262}
| 3x-5y+10z=15 | | -4(b+4)=-28-6b | | v+8=-3v+12 | | 2+0.54t=35 | | -3(x+11)=105 | | 6x+1+5x+17=126 | | 1+7-4=18 | | 4x-3x=12+2x | | -p+20=-13 | | -4(n+4)=-28-6b | | 11a=1331 | | 3+2-3= | | 11+5e=6 | | 1y+5x=8 | | -4x^2+25x+21=0 | | -5n+-5=5+-5n | | 15w-21=11 | | 2j+9=2j | | 13-4a=37 | | e(c-b)=d | | 56=32-4(x-2) | | 4y+8x+6+25+4x+6y+7= | | y=7.3 | | -4+9g=9g | | 18=27x+9 | | 4h*10=7*3-2h | | 3(h-4)=20(4+0.25n) | | (2x+4)=4(3x+2) | | 5x+13-4x=8+3x-7 | | 6-10x^2-8x=4 | | 2+5n+2n=10-5n | | 1y+(-10)=8 |