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 + 27 = -7 Reorder the terms: 27 + -12x + -4x2 = -7 Solving 27 + -12x + -4x2 = -7 Solving for variable 'x'. Reorder the terms: 27 + 7 + -12x + -4x2 = -7 + 7 Combine like terms: 27 + 7 = 34 34 + -12x + -4x2 = -7 + 7 Combine like terms: -7 + 7 = 0 34 + -12x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(17 + -6x + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(17 + -6x + -2x2)' equal to zero and attempt to solve: Simplifying 17 + -6x + -2x2 = 0 Solving 17 + -6x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -8.5 + 3x + x2 = 0 Move the constant term to the right: Add '8.5' to each side of the equation. -8.5 + 3x + 8.5 + x2 = 0 + 8.5 Reorder the terms: -8.5 + 8.5 + 3x + x2 = 0 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + 3x + x2 = 0 + 8.5 3x + x2 = 0 + 8.5 Combine like terms: 0 + 8.5 = 8.5 3x + x2 = 8.5 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 = 8.5 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 8.5 + 2.25 Combine like terms: 8.5 + 2.25 = 10.75 2.25 + 3x + x2 = 10.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 10.75 Calculate the square root of the right side: 3.278719262 Break this problem into two subproblems by setting (x + 1.5) equal to 3.278719262 and -3.278719262.Subproblem 1
x + 1.5 = 3.278719262 Simplifying x + 1.5 = 3.278719262 Reorder the terms: 1.5 + x = 3.278719262 Solving 1.5 + x = 3.278719262 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 = 3.278719262 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 3.278719262 + -1.5 x = 3.278719262 + -1.5 Combine like terms: 3.278719262 + -1.5 = 1.778719262 x = 1.778719262 Simplifying x = 1.778719262Subproblem 2
x + 1.5 = -3.278719262 Simplifying x + 1.5 = -3.278719262 Reorder the terms: 1.5 + x = -3.278719262 Solving 1.5 + x = -3.278719262 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 = -3.278719262 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -3.278719262 + -1.5 x = -3.278719262 + -1.5 Combine like terms: -3.278719262 + -1.5 = -4.778719262 x = -4.778719262 Simplifying x = -4.778719262Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.778719262, -4.778719262}Solution
x = {1.778719262, -4.778719262}
| 15+0.06=29.28 | | 15+0.06=29.28x | | 3x+10y=8.75 | | x^2-2.2x-4=0 | | 4p(p-3)=0 | | 3x+4y=4.85 | | -[10x-(2x+5)]=-4-[4(3x-3)-2x] | | -6=3/4(x+8) | | 5y^2-8y=-3 | | .08+.09(9000-x)=500 | | x+3.9=8.2 | | 4x+216=8+9x-216 | | 2560+4/9=x | | 8.6=5.8y-3 | | y+6x=36 | | 22x^2+9x+1=0 | | -0.6d=2.4 | | 0.8h^2-24h+250=570 | | 4(c-15)=8 | | 4.7=c/3 | | 47-33=x | | 1x/12+1/3=5/6 | | 2(x+5)2=36 | | -3(y-9)=6 | | 2(8-15)=m-7 | | -4(r+3)=-67 | | 12/54=25/n | | 3y+5x+1=0 | | -4=-8w+4(w+8) | | 19=6x+1-3x | | -5+8+y=-2+9 | | x+2x+3x+4x=1 |