If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 12x + -30 = 0 Reorder the terms: -30 + 12x + 4x2 = 0 Solving -30 + 12x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 6x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 6x + 2x2)' equal to zero and attempt to solve: Simplifying -15 + 6x + 2x2 = 0 Solving -15 + 6x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + 3x + x2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 3x + 7.5 + x2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 3x + x2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 3x + x2 = 0 + 7.5 3x + x2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 3x + x2 = 7.5 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = 7.5 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 7.5 + 2.25 Combine like terms: 7.5 + 2.25 = 9.75 2.25 + 3x + x2 = 9.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 9.75 Calculate the square root of the right side: 3.122498999 Break this problem into two subproblems by setting (x + 1.5) equal to 3.122498999 and -3.122498999.Subproblem 1
x + 1.5 = 3.122498999 Simplifying x + 1.5 = 3.122498999 Reorder the terms: 1.5 + x = 3.122498999 Solving 1.5 + x = 3.122498999 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 3.122498999 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 3.122498999 + -1.5 x = 3.122498999 + -1.5 Combine like terms: 3.122498999 + -1.5 = 1.622498999 x = 1.622498999 Simplifying x = 1.622498999Subproblem 2
x + 1.5 = -3.122498999 Simplifying x + 1.5 = -3.122498999 Reorder the terms: 1.5 + x = -3.122498999 Solving 1.5 + x = -3.122498999 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -3.122498999 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -3.122498999 + -1.5 x = -3.122498999 + -1.5 Combine like terms: -3.122498999 + -1.5 = -4.622498999 x = -4.622498999 Simplifying x = -4.622498999Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.622498999, -4.622498999}Solution
x = {1.622498999, -4.622498999}
| -4=-3+t | | -2c+9=7c-9 | | 6x+7=9x-5 | | 2-2(y)=y+64 | | -p+38=-5(3p+5)-7p | | x^2-15x-56=0 | | 9x-4=-1 | | 6-3b=-3-2(-b+3) | | 90x+70y=240 | | 4x^2-20x+48=0 | | 9y=3x^2+6 | | 3x+3=-2x+13 | | -b-36=6(1-2b)+5b | | 8x+15w=85 | | (3/x)=(2/9) | | x-2=-63/5 | | -6x+17=-(6x+9) | | (x+4i)=(7-i)+(3-5yi) | | x=4+3x | | -7y^2=4x+6 | | (8a^6b^5-3a^2)(-5ab^3)=0 | | -5(I+4)=-15 | | x=4.5+-0.5x | | x/10=(x/11)-13 | | r-11=-26 | | Y-30=14-3(y) | | 300k=c+273.15 | | -2(z-1)=x+11 | | 3/4(n+3)=-1/6(n+4/5) | | 7x-4(x-12)=24 | | -4y+2=-2(3y+3) | | -3b+8=2b+45 |