4(x^2-1)+(x+1)(x-3)=0

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Solution for 4(x^2-1)+(x+1)(x-3)=0 equation: 


Simplifying
4(x2 + -1) + (x + 1)(x + -3) = 0

Reorder the terms:
4(-1 + x2) + (x + 1)(x + -3) = 0
(-1 * 4 + x2 * 4) + (x + 1)(x + -3) = 0
(-4 + 4x2) + (x + 1)(x + -3) = 0

Reorder the terms:
-4 + 4x2 + (1 + x)(x + -3) = 0

Reorder the terms:
-4 + 4x2 + (1 + x)(-3 + x) = 0

Multiply (1 + x) * (-3 + x)
-4 + 4x2 + (1(-3 + x) + x(-3 + x)) = 0
-4 + 4x2 + ((-3 * 1 + x * 1) + x(-3 + x)) = 0
-4 + 4x2 + ((-3 + 1x) + x(-3 + x)) = 0
-4 + 4x2 + (-3 + 1x + (-3 * x + x * x)) = 0
-4 + 4x2 + (-3 + 1x + (-3x + x2)) = 0

Combine like terms: 1x + -3x = -2x
-4 + 4x2 + (-3 + -2x + x2) = 0

Reorder the terms:
-4 + -3 + -2x + 4x2 + x2 = 0

Combine like terms: -4 + -3 = -7
-7 + -2x + 4x2 + x2 = 0

Combine like terms: 4x2 + x2 = 5x2
-7 + -2x + 5x2 = 0

Solving
-7 + -2x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(7 + -5x) = 0


Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {-1, 1.4}

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