If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (8x + -7)(8x + -7) = 5 Reorder the terms: (-7 + 8x)(8x + -7) = 5 Reorder the terms: (-7 + 8x)(-7 + 8x) = 5 Multiply (-7 + 8x) * (-7 + 8x) (-7(-7 + 8x) + 8x * (-7 + 8x)) = 5 ((-7 * -7 + 8x * -7) + 8x * (-7 + 8x)) = 5 ((49 + -56x) + 8x * (-7 + 8x)) = 5 (49 + -56x + (-7 * 8x + 8x * 8x)) = 5 (49 + -56x + (-56x + 64x2)) = 5 Combine like terms: -56x + -56x = -112x (49 + -112x + 64x2) = 5 Solving 49 + -112x + 64x2 = 5 Solving for variable 'x'. Reorder the terms: 49 + -5 + -112x + 64x2 = 5 + -5 Combine like terms: 49 + -5 = 44 44 + -112x + 64x2 = 5 + -5 Combine like terms: 5 + -5 = 0 44 + -112x + 64x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(11 + -28x + 16x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(11 + -28x + 16x2)' equal to zero and attempt to solve: Simplifying 11 + -28x + 16x2 = 0 Solving 11 + -28x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.6875 + -1.75x + x2 = 0 Move the constant term to the right: Add '-0.6875' to each side of the equation. 0.6875 + -1.75x + -0.6875 + x2 = 0 + -0.6875 Reorder the terms: 0.6875 + -0.6875 + -1.75x + x2 = 0 + -0.6875 Combine like terms: 0.6875 + -0.6875 = 0.0000 0.0000 + -1.75x + x2 = 0 + -0.6875 -1.75x + x2 = 0 + -0.6875 Combine like terms: 0 + -0.6875 = -0.6875 -1.75x + x2 = -0.6875 The x term is -1.75x. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75x + 0.765625 + x2 = -0.6875 + 0.765625 Reorder the terms: 0.765625 + -1.75x + x2 = -0.6875 + 0.765625 Combine like terms: -0.6875 + 0.765625 = 0.078125 0.765625 + -1.75x + x2 = 0.078125 Factor a perfect square on the left side: (x + -0.875)(x + -0.875) = 0.078125 Calculate the square root of the right side: 0.279508497 Break this problem into two subproblems by setting (x + -0.875) equal to 0.279508497 and -0.279508497.Subproblem 1
x + -0.875 = 0.279508497 Simplifying x + -0.875 = 0.279508497 Reorder the terms: -0.875 + x = 0.279508497 Solving -0.875 + x = 0.279508497 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.875' to each side of the equation. -0.875 + 0.875 + x = 0.279508497 + 0.875 Combine like terms: -0.875 + 0.875 = 0.000 0.000 + x = 0.279508497 + 0.875 x = 0.279508497 + 0.875 Combine like terms: 0.279508497 + 0.875 = 1.154508497 x = 1.154508497 Simplifying x = 1.154508497Subproblem 2
x + -0.875 = -0.279508497 Simplifying x + -0.875 = -0.279508497 Reorder the terms: -0.875 + x = -0.279508497 Solving -0.875 + x = -0.279508497 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.875' to each side of the equation. -0.875 + 0.875 + x = -0.279508497 + 0.875 Combine like terms: -0.875 + 0.875 = 0.000 0.000 + x = -0.279508497 + 0.875 x = -0.279508497 + 0.875 Combine like terms: -0.279508497 + 0.875 = 0.595491503 x = 0.595491503 Simplifying x = 0.595491503Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.154508497, 0.595491503}Solution
x = {1.154508497, 0.595491503}
| X^3+64x^2+120x=0 | | 30+2x=210 | | 12(a-5)=-3-9 | | 12-11n=5-n | | 7n-11=2n-4 | | 9n+3=4n+12 | | 2-(w+5)=-14 | | 8(9+-a)+7b(a+-9)=0 | | X^2+30x+17= | | 110+0.70x=50+0.90x | | 56=x*96 | | 2a-5+12c+2a+b=c | | 72+-8a+7ab+-63b=0 | | 7b(a-9)-8(a-9)=0 | | -8y+5=9y+9 | | 3(2a+1)-2(a-4)=2 | | 7/y-4=6 | | 4(y+3)=3(y-2) | | 12a+15b+9c=x | | x^2+31x+17= | | u^2-5uv-14v^2=0 | | 15/-17 | | 3x+3+3(x+1)=5x-5 | | a^2+19*a+c=11 | | 25y^2-49x^2=0 | | (6v^5x-3v^3y^4)/9v^6 | | 30X-2=16 | | 5.8x+2.6=2.2x+11.6 | | 5(k+2)=2k+11 | | 7(t-2)=5 | | -2.8x=35.56 | | 3(x-12)=8(x+3) |