(2x-3)(5x+2)=ax^2+bx+c

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Solution for (2x-3)(5x+2)=ax^2+bx+c equation:


Simplifying
(2x + -3)(5x + 2) = ax2 + bx + c

Reorder the terms:
(-3 + 2x)(5x + 2) = ax2 + bx + c

Reorder the terms:
(-3 + 2x)(2 + 5x) = ax2 + bx + c

Multiply (-3 + 2x) * (2 + 5x)
(-3(2 + 5x) + 2x * (2 + 5x)) = ax2 + bx + c
((2 * -3 + 5x * -3) + 2x * (2 + 5x)) = ax2 + bx + c
((-6 + -15x) + 2x * (2 + 5x)) = ax2 + bx + c
(-6 + -15x + (2 * 2x + 5x * 2x)) = ax2 + bx + c
(-6 + -15x + (4x + 10x2)) = ax2 + bx + c

Combine like terms: -15x + 4x = -11x
(-6 + -11x + 10x2) = ax2 + bx + c

Solving
-6 + -11x + 10x2 = ax2 + bx + c

Solving for variable 'x'.

Reorder the terms:
-6 + -1ax2 + -1bx + -1c + -11x + 10x2 = ax2 + bx + c + -1ax2 + -1bx + -1c

Reorder the terms:
-6 + -1ax2 + -1bx + -1c + -11x + 10x2 = ax2 + -1ax2 + bx + -1bx + c + -1c

Combine like terms: ax2 + -1ax2 = 0
-6 + -1ax2 + -1bx + -1c + -11x + 10x2 = 0 + bx + -1bx + c + -1c
-6 + -1ax2 + -1bx + -1c + -11x + 10x2 = bx + -1bx + c + -1c

Combine like terms: bx + -1bx = 0
-6 + -1ax2 + -1bx + -1c + -11x + 10x2 = 0 + c + -1c
-6 + -1ax2 + -1bx + -1c + -11x + 10x2 = c + -1c

Combine like terms: c + -1c = 0
-6 + -1ax2 + -1bx + -1c + -11x + 10x2 = 0

The solution to this equation could not be determined.

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