(5x^2+2)(4x^2-7)=

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Solution for (5x^2+2)(4x^2-7)= equation: 


Simplifying
(5x2 + 2)(4x2 + -7) = 0

Reorder the terms:
(2 + 5x2)(4x2 + -7) = 0

Reorder the terms:
(2 + 5x2)(-7 + 4x2) = 0

Multiply (2 + 5x2) * (-7 + 4x2)
(2(-7 + 4x2) + 5x2 * (-7 + 4x2)) = 0
((-7 * 2 + 4x2 * 2) + 5x2 * (-7 + 4x2)) = 0
((-14 + 8x2) + 5x2 * (-7 + 4x2)) = 0
(-14 + 8x2 + (-7 * 5x2 + 4x2 * 5x2)) = 0
(-14 + 8x2 + (-35x2 + 20x4)) = 0

Combine like terms: 8x2 + -35x2 = -27x2
(-14 + -27x2 + 20x4) = 0

Solving
-14 + -27x2 + 20x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x2)(7 + -4x2) = 0


Subproblem 1
Set the factor '(-2 + -5x2)' equal to zero and attempt to solve:

Simplifying
-2 + -5x2 = 0

Solving
-2 + -5x2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x2 = 0 + 2
-5x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-5x2 = 2

Divide each side by '-5'.
x2 = -0.4

Simplifying
x2 = -0.4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7 + -4x2)' equal to zero and attempt to solve:

Simplifying
7 + -4x2 = 0

Solving
7 + -4x2 = 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 + -4x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x2 = 0 + -7
-4x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-4x2 = -7

Divide each side by '-4'.
x2 = 1.75

Simplifying
x2 = 1.75

Take the square root of each side:
x = {-1.322875656, 1.322875656}
Solution
x = {-1.322875656, 1.322875656}

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