4x^2-4x-53=10

Simple and best practice solution for 4x^2-4x-53=10 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4x^2-4x-53=10 equation:


Simplifying
4x2 + -4x + -53 = 10

Reorder the terms:
-53 + -4x + 4x2 = 10

Solving
-53 + -4x + 4x2 = 10

Solving for variable 'x'.

Reorder the terms:
-53 + -10 + -4x + 4x2 = 10 + -10

Combine like terms: -53 + -10 = -63
-63 + -4x + 4x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-63 + -4x + 4x2 = 0

Factor a trinomial.
(-7 + -2x)(9 + -2x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5

Solution

x = {-3.5, 4.5}

See similar equations:

| 2-4/7=x | | (7x^2+8x-5)-(4x^2-3X)-(-6x^3-5x^2+1)= | | 6x-5(x-18)=100 | | ln(x)-3x=0 | | (2m+3)(m-7)= | | 24a-22=-41(1+6a) | | -3.5+5.5=7x-2.5-6x | | 6e^4x+4=20 | | k^2+-12=0 | | 2n+7=16 | | 5ax-2y+3ay-10z= | | -3t-8+7t=34+9-2 | | k+2+k+2=16 | | 2m(3m+1)= | | 2x^2+2y^2+16x-20y+82=0 | | u^2+5u+8uq+40q= | | 1/2-25=34 | | 2x^2+2y^2+16x*20y+82=0 | | s-3=5-3 | | 7x+2(4x+13)=176 | | 1/2-25= | | 2x^2+2y^2-16x*20y+82=0 | | ln(x+8)=ln(x+3)+ln(x) | | 4x^2-13=-9 | | x^2(x+7)=1.5(14x^2+16) | | -4x+2(6x-11)=66 | | x=14ln(6) | | 3(2z-1)-3(2-4z)=12 | | (p+6)(p+4)= | | 24x^4+8x^3= | | -6+5(1-9k)=19 | | (U-12)5= |

Equations solver categories