-(7x-4)(7x+15)=

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Solution for -(7x-4)(7x+15)= equation: 


Simplifying
-1(7x + -4)(7x + 15) = 0

Reorder the terms:
-1(-4 + 7x)(7x + 15) = 0

Reorder the terms:
-1(-4 + 7x)(15 + 7x) = 0

Multiply (-4 + 7x) * (15 + 7x)
-1(-4(15 + 7x) + 7x * (15 + 7x)) = 0
-1((15 * -4 + 7x * -4) + 7x * (15 + 7x)) = 0
-1((-60 + -28x) + 7x * (15 + 7x)) = 0
-1(-60 + -28x + (15 * 7x + 7x * 7x)) = 0
-1(-60 + -28x + (105x + 49x2)) = 0

Combine like terms: -28x + 105x = 77x
-1(-60 + 77x + 49x2) = 0
(-60 * -1 + 77x * -1 + 49x2 * -1) = 0
(60 + -77x + -49x2) = 0

Solving
60 + -77x + -49x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -7x)(15 + 7x) = 0


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

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

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

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

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 2
Set the factor '(15 + 7x)' equal to zero and attempt to solve:

Simplifying
15 + 7x = 0

Solving
15 + 7x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 7x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = 0 + -15
7x = 0 + -15

Combine like terms: 0 + -15 = -15
7x = -15

Divide each side by '7'.
x = -2.142857143

Simplifying
x = -2.142857143
Solution
x = {0.5714285714, -2.142857143}

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