(-3-5x)(5x-3)-(9+25x)=

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Solution for (-3-5x)(5x-3)-(9+25x)= equation:


Simplifying
(-3 + -5x)(5x + -3) + -1(9 + 25x) = 0

Reorder the terms:
(-3 + -5x)(-3 + 5x) + -1(9 + 25x) = 0

Multiply (-3 + -5x) * (-3 + 5x)
(-3(-3 + 5x) + -5x * (-3 + 5x)) + -1(9 + 25x) = 0
((-3 * -3 + 5x * -3) + -5x * (-3 + 5x)) + -1(9 + 25x) = 0
((9 + -15x) + -5x * (-3 + 5x)) + -1(9 + 25x) = 0
(9 + -15x + (-3 * -5x + 5x * -5x)) + -1(9 + 25x) = 0
(9 + -15x + (15x + -25x2)) + -1(9 + 25x) = 0

Combine like terms: -15x + 15x = 0
(9 + 0 + -25x2) + -1(9 + 25x) = 0
(9 + -25x2) + -1(9 + 25x) = 0
9 + -25x2 + (9 * -1 + 25x * -1) = 0
9 + -25x2 + (-9 + -25x) = 0

Reorder the terms:
9 + -9 + -25x + -25x2 = 0

Combine like terms: 9 + -9 = 0
0 + -25x + -25x2 = 0
-25x + -25x2 = 0

Solving
-25x + -25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-25x'.
-25x(1 + x) = 0

Ignore the factor -25.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {0, -1}

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