2x(4x+5)-7=0

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Solution for 2x(4x+5)-7=0 equation: 


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

Reorder the terms:
2x(5 + 4x) + -7 = 0
(5 * 2x + 4x * 2x) + -7 = 0
(10x + 8x2) + -7 = 0

Reorder the terms:
-7 + 10x + 8x2 = 0

Solving
-7 + 10x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -4x)(1 + -2x) = 0


Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve:

Simplifying
-7 + -4x = 0

Solving
-7 + -4x = 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 + -4x = 0 + 7

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

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

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

Simplifying
x = -1.75

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-1.75, 0.5}

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