4x^2-25-(2x-5)(2x+7)=0

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Solution for 4x^2-25-(2x-5)(2x+7)=0 equation:


Simplifying
4x2 + -25 + -1(2x + -5)(2x + 7) = 0

Reorder the terms:
4x2 + -25 + -1(-5 + 2x)(2x + 7) = 0

Reorder the terms:
4x2 + -25 + -1(-5 + 2x)(7 + 2x) = 0

Multiply (-5 + 2x) * (7 + 2x)
4x2 + -25 + -1(-5(7 + 2x) + 2x * (7 + 2x)) = 0
4x2 + -25 + -1((7 * -5 + 2x * -5) + 2x * (7 + 2x)) = 0
4x2 + -25 + -1((-35 + -10x) + 2x * (7 + 2x)) = 0
4x2 + -25 + -1(-35 + -10x + (7 * 2x + 2x * 2x)) = 0
4x2 + -25 + -1(-35 + -10x + (14x + 4x2)) = 0

Combine like terms: -10x + 14x = 4x
4x2 + -25 + -1(-35 + 4x + 4x2) = 0
4x2 + -25 + (-35 * -1 + 4x * -1 + 4x2 * -1) = 0
4x2 + -25 + (35 + -4x + -4x2) = 0

Reorder the terms:
-25 + 35 + -4x + 4x2 + -4x2 = 0

Combine like terms: -25 + 35 = 10
10 + -4x + 4x2 + -4x2 = 0

Combine like terms: 4x2 + -4x2 = 0
10 + -4x + 0 = 0
10 + -4x = 0

Solving
10 + -4x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -4x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 0 + -10
-4x = 0 + -10

Combine like terms: 0 + -10 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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